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124112411125040 = 24513597127283807
BaseRepresentation
bin11100001110000100101100…
…001011010110010100110000
3121021110000211022211120000002
4130032010230023112110300
5112231424204222000130
61115544242103245132
735066553151040642
oct3416045413262460
9537400738746002
10124112411125040
1136600861526908
1211b059974497a8
13543399a1048c0
1422911038aa892
15e536ae22ab45
hex70e12c2d6530

124112411125040 has 160 divisors (see below), whose sum is σ = 316070930165760. Its totient is φ = 45042927455232.

The previous prime is 124112411124959. The next prime is 124112411125051. The reversal of 124112411125040 is 40521114211421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 124112411124994 and 124112411125012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437170817 + ... + 437454623.

It is an arithmetic number, because the mean of its divisors is an integer number (1975443313536).

Almost surely, 2124112411125040 is an apocalyptic number.

124112411125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124112411125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158035465082880).

124112411125040 is an abundant number, since it is smaller than the sum of its proper divisors (191958519040720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124112411125040 is a wasteful number, since it uses less digits than its factorization.

124112411125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291019 (or 291013 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

Adding to 124112411125040 its reverse (40521114211421), we get a palindrome (164633525336461).

The spelling of 124112411125040 in words is "one hundred twenty-four trillion, one hundred twelve billion, four hundred eleven million, one hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 767 944 1040 1180 1534 2360 3068 3835 4720 6136 7127 7670 12272 14254 15340 28508 30680 35635 57016 61360 71270 92651 114032 142540 185302 283807 285080 370604 420493 463255 567614 570160 741208 840986 926510 1135228 1419035 1482416 1681972 1853020 2102465 2270456 2838070 3363944 3689491 3706040 4204930 4540912 5466409 5676140 6727888 7378982 7412080 8409860 10932818 11352280 14757964 16744613 16819720 18447455 21865636 22704560 27332045 29515928 33489226 33639440 36894910 43731272 54664090 59031856 66978452 73789820 83723065 87462544 109328180 133956904 147579640 167446130 217679969 218656360 267913808 295159280 334892260 435359938 437312720 669784520 870719876 1088399845 1339569040 1741439752 2022692489 2176799690 3482879504 4045384978 4353599380 8090769956 8707198760 10113462445 16181539912 17414397520 20226924890 26295002357 32363079824 40453849780 52590004714 80907699560 105180009428 119338856851 131475011785 161815399120 210360018856 238677713702 262950023570 420720037712 477355427404 525900047140 596694284255 954710854808 1051800094280 1193388568510 1551405139063 1909421709616 2103600188560 2386777137020 3102810278126 4773554274040 6205620556252 7757025695315 9547108548080 12411241112504 15514051390630 24822482225008 31028102781260 62056205562520 124112411125040