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122427426123 = 32116991162753
BaseRepresentation
bin111001000000100111…
…1100100010101001011
3102201000011210122010200
41302001033210111023
54001212410113443
6132124204343243
711562602644332
oct1620117442513
9381004718120
10122427426123
1147a150aa312
121b888844b23
13b7110865a2
145cd58a4d19
1532b8147dd3
hex1c813e454b

122427426123 has 12 divisors (see below), whose sum is σ = 176854883400. Its totient is φ = 81611237376.

The previous prime is 122427426119. The next prime is 122427426127. The reversal of 122427426123 is 321624724221.

122427426123 is a `hidden beast` number, since 1 + 224 + 2 + 7 + 426 + 1 + 2 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (122427426119) and next prime (122427426127).

It is not a de Polignac number, because 122427426123 - 22 = 122427426119 is a prime.

It is a super-2 number, since 2×1224274261232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122427426127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476086 + ... + 686667.

It is an arithmetic number, because the mean of its divisors is an integer number (14737906950).

Almost surely, 2122427426123 is an apocalyptic number.

122427426123 is a deficient number, since it is larger than the sum of its proper divisors (54427457277).

122427426123 is a wasteful number, since it uses less digits than its factorization.

122427426123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174458 (or 1174455 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 122427426123 in words is "one hundred twenty-two billion, four hundred twenty-seven million, four hundred twenty-six thousand, one hundred twenty-three".

Divisors: 1 3 9 11699 35097 105291 1162753 3488259 10464777 13603047347 40809142041 122427426123