Search a number
-
+
12042412130112 = 263713689240621
BaseRepresentation
bin1010111100111101011110…
…1100100111111101000000
31120122020120101222112202020
42233033113230213331000
53034300330001130422
641340112513121440
72352015125120430
oct257172754477500
946566511875666
1012042412130112
11392318177aa01
121425a97559280
13694796417070
142d8bda6862c0
1515d3b657795c
hexaf3d7b27f40

12042412130112 has 112 divisors (see below), whose sum is σ = 39215034429312. Its totient is φ = 3176020776960.

The previous prime is 12042412130081. The next prime is 12042412130141. The reversal of 12042412130112 is 21103121424021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×120424121301122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344602839 + ... + 344637782.

It is an arithmetic number, because the mean of its divisors is an integer number (350134235976).

Almost surely, 212042412130112 is an apocalyptic number.

12042412130112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12042412130112 is an abundant number, since it is smaller than the sum of its proper divisors (27172622299200).

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

12042412130112 is a wasteful number, since it uses less digits than its factorization.

12042412130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689240656 (or 689240646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12042412130112 its reverse (21103121424021), we get a palindrome (33145533554133).

The spelling of 12042412130112 in words is "twelve trillion, forty-two billion, four hundred twelve million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 689240621 1378481242 2067721863 2756962484 4135443726 4824684347 5513924968 8270887452 8960128073 9649368694 11027849936 14474053041 16541774904 17920256146 19298737388 22055699872 26880384219 28948106082 33083549808 35840512292 38597474776 44111399744 53760768438 57896212164 62720896511 66167099616 71681024584 77194949552 107521536876 115792424328 125441793022 132334199232 143362049168 154389899104 188162689533 215043073752 231584848656 250883586044 286724098336 308779798208 376325379066 430086147504 463169697312 501767172088 573448196672 752650758132 860172295008 926339394624 1003534344176 1505301516264 1720344590016 2007068688352 3010603032528 4014137376704 6021206065056 12042412130112