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121434312330460 = 225192346349299771
BaseRepresentation
bin11011100111000110100001…
…000011001100110011011100
3120220222000012000110211002101
4123213012201003030303130
5111404034432424033320
61110134053011534444
734402224314633113
oct3347064103146334
9526860160424071
10121434312330460
11357690035851a8
12117529495ba424
13529b28b94465c
1421db6486dac7a
15e08bb9cabc0a
hex6e71a10cccdc

121434312330460 has 96 divisors (see below), whose sum is σ = 280111753152000. Its totient is φ = 44015368193280.

The previous prime is 121434312330367. The next prime is 121434312330523. The reversal of 121434312330460 is 64033213434121.

It is a super-2 number, since 2×1214343123304602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404940375 + ... + 405240145.

It is an arithmetic number, because the mean of its divisors is an integer number (2917830762000).

Almost surely, 2121434312330460 is an apocalyptic number.

121434312330460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121434312330460 is an abundant number, since it is smaller than the sum of its proper divisors (158677440821540).

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

121434312330460 is a wasteful number, since it uses less digits than its factorization.

121434312330460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346171 (or 346169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 121434312330460 its reverse (64033213434121), we get a palindrome (185467525764581).

The spelling of 121434312330460 in words is "one hundred twenty-one trillion, four hundred thirty-four billion, three hundred twelve million, three hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 8740 46349 92698 185396 231745 299771 463490 599542 880631 926980 1066027 1199084 1498855 1761262 2132054 2997710 3522524 4264108 4403155 5330135 5695649 5995420 6894733 8806310 10660270 11391298 13789466 17612620 20254513 21320540 22782596 27578932 28478245 34473665 40509026 56956490 68947330 81018052 101272565 113912980 130999927 137894660 202545130 261999854 405090260 523999708 654999635 1309999270 2619998540 13894086079 27788172158 55576344316 69470430395 138940860790 263987635501 277881721580 319563979817 527975271002 639127959634 1055950542004 1278255919268 1319938177505 1597819899085 2639876355010 3195639798170 5279752710020 6071715616523 6391279596340 12143431233046 24286862466092 30358578082615 60717156165230 121434312330460