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121614220536464 = 2431717829441101
BaseRepresentation
bin11011101001101110000100…
…011010100010101010010000
3120221121012120010111121122102
4123221232010122202222100
5111420011410424131324
61110352445053055532
734421223520306205
oct3351560432425220
9527535503447572
10121614220536464
1135828335020177
12117817984875a8
1352b2230559516
14220623423dcac
15e0d6e93d1dae
hex6e9b846a2a90

121614220536464 has 80 divisors (see below), whose sum is σ = 246686258211840. Its totient is φ = 58009237440000.

The previous prime is 121614220536443. The next prime is 121614220536467. The reversal of 121614220536464 is 464635022416121.

It is not an unprimeable number, because it can be changed into a prime (121614220536467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275485514 + ... + 275926614.

It is an arithmetic number, because the mean of its divisors is an integer number (3083578227648).

Almost surely, 2121614220536464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121614220536464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123343129105920).

121614220536464 is an abundant number, since it is smaller than the sum of its proper divisors (125072037675376).

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

121614220536464 is a wasteful number, since it uses less digits than its factorization.

121614220536464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449040 (or 449034 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 121614220536464 in words is "one hundred twenty-one trillion, six hundred fourteen billion, two hundred twenty million, five hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1136 2201 4402 7829 8804 15658 17608 31316 35216 62632 125264 242699 441101 485398 555859 882202 970796 1111718 1764404 1941592 2223436 3528808 3883184 4446872 7057616 8893744 13674131 17231629 27348262 31318171 34463258 54696524 62636342 68926516 109393048 125272684 137853032 218786096 250545368 275706064 501090736 970863301 1941726602 3453379729 3883453204 6906759458 7766906408 13813518916 15533812816 27627037832 55254075664 107054771599 214109543198 245189960759 428219086396 490379921518 856438172792 980759843036 1712876345584 1961519686072 3923039372144 7600888783529 15201777567058 30403555134116 60807110268232 121614220536464