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122401374384690 = 2335453338423647
BaseRepresentation
bin11011110101001011001010…
…011100001011001000110010
3121001101110100020100020021000
4123311023022130023020302
5112020411003320302230
61112154225355542430
734532131106521542
oct3365131234131062
9531343306306230
10122401374384690
113600114992aa05
121188a25875aa16
13533b527c7c84b
142232388447322
15e23e19a11b60
hex6f52ca70b232

122401374384690 has 32 divisors (see below), whose sum is σ = 326403665026560. Its totient is φ = 32640366502512.

The previous prime is 122401374384661. The next prime is 122401374384701. The reversal of 122401374384690 is 96483473104221.

122401374384690 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 0 + 137 + 43 + 8 + 469 + 0 = 666.

It is a super-2 number, since 2×1224013743846902 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 226669211554 + ... + 226669212093.

It is an arithmetic number, because the mean of its divisors is an integer number (10200114532080).

Almost surely, 2122401374384690 is an apocalyptic number.

122401374384690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122401374384690 is an abundant number, since it is smaller than the sum of its proper divisors (204002290641870).

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

122401374384690 is a wasteful number, since it uses less digits than its factorization.

122401374384690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453338423663 (or 453338423657 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 122401374384690 in words is "one hundred twenty-two trillion, four hundred one billion, three hundred seventy-four million, three hundred eighty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 453338423647 906676847294 1360015270941 2266692118235 2720030541882 4080045812823 4533384236470 6800076354705 8160091625646 12240137438469 13600152709410 20400229064115 24480274876938 40800458128230 61200687192345 122401374384690