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121141314254000 = 2453174917172461
BaseRepresentation
bin11011100010110101101001…
…000000001111010010110000
3120212220222220110220100201202
4123202311221000033102300
5111334234402422112000
61105351315042150332
734342112461240625
oct3342655100172260
9525828813810652
10121141314254000
1135665819826777
1211705bb90523a8
135279766643391
1421cb3b149634c
15e0126c196dd5
hex6e2d6900f4b0

121141314254000 has 160 divisors (see below), whose sum is σ = 310160856238272. Its totient is φ = 45604584960000.

The previous prime is 121141314253987. The next prime is 121141314254033. The reversal of 121141314254000 is 452413141121.

It is a super-3 number, since 3×1211413142540003 (a number of 43 digits) contains 333 as substring.

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, 1671777770 + ... + 1671850230.

Almost surely, 2121141314254000 is an apocalyptic number.

121141314254000 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 121141314254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155080428119136).

121141314254000 is an abundant number, since it is smaller than the sum of its proper divisors (189019541984272).

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

121141314254000 is a wasteful number, since it uses less digits than its factorization.

121141314254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121672 (or 121656 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 121141314254000 its reverse (452413141121), we get a palindrome (121593727395121).

The spelling of 121141314254000 in words is "one hundred twenty-one trillion, one hundred forty-one billion, three hundred fourteen million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 49171 72461 98342 144922 196684 245855 289844 362305 393368 491710 579688 724610 786736 835907 983420 1159376 1229275 1231837 1449220 1671814 1811525 1966840 2458550 2463674 2898440 3343628 3623050 3933680 4179535 4917100 4927348 5796880 6146375 6159185 6687256 7246100 8359070 9057625 9834200 9854696 12292750 12318370 13374512 14492200 16718140 18115250 19668400 19709392 20897675 24585500 24636740 28984400 30795925 33436280 36230500 41795350 49171000 49273480 61591850 66872560 72461000 83590700 98342000 98546960 104488375 123183700 144922000 153979625 167181400 208976750 246367400 307959250 334362800 417953500 492734800 615918500 835907000 1231837000 1671814000 2463674000 3562979831 7125959662 14251919324 17814899155 28503838648 35629798310 57007677296 60570657127 71259596620 89074495775 121141314254 142519193240 178148991550 242282628508 285038386480 302853285635 356297983100 445372478875 484565257016 605706571270 712595966200 890744957750 969130514032 1211413142540 1425191932400 1514266428175 1781489915500 2422826285080 3028532856350 3562979831000 4845652570160 6057065712700 7125959662000 7571332140875 12114131425400 15142664281750 24228262850800 30285328563500 60570657127000 121141314254000