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122332023121 = 71141183121163
BaseRepresentation
bin111000111101110001…
…1101000100101010001
3102200202112021122211011
41301323203220211101
54001013444214441
6132110515450521
711560334016430
oct1617343504521
9380675248734
10122332023121
1147976268660
121b8608b6a41
13b6c73922c9
145cc6d4d117
1532aeaa0581
hex1c7b8e8951

122332023121 has 32 divisors (see below), whose sum is σ = 156330510336. Its totient is φ = 92943504000.

The previous prime is 122332023101. The next prime is 122332023161. The reversal of 122332023121 is 121320233221.

It is a cyclic number.

It is not a de Polignac number, because 122332023121 - 219 = 122331498833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122332023092 and 122332023101.

It is not an unprimeable number, because it can be changed into a prime (122332023101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5769886 + ... + 5791048.

It is an arithmetic number, because the mean of its divisors is an integer number (4885328448).

Almost surely, 2122332023121 is an apocalyptic number.

122332023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122332023121 is a deficient number, since it is larger than the sum of its proper divisors (33998487215).

122332023121 is a wasteful number, since it uses less digits than its factorization.

122332023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23053.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122332023121 its reverse (121320233221), we get a palindrome (243652256342).

The spelling of 122332023121 in words is "one hundred twenty-two billion, three hundred thirty-two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 11 41 77 287 451 1831 3157 12817 20141 21163 75071 140987 148141 232793 525497 825781 867683 1629551 5780467 6073781 9544513 38749453 66811591 271246171 426243983 1588727573 2983707881 11121093011 17476003303 122332023121