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122131210123 = 1341379604589
BaseRepresentation
bin111000110111110010…
…1100101111110001011
3102200020112102022011201
41301233211211332023
54000111042210443
6132034543405031
711552345104666
oct1615745457613
9380215368151
10122131210123
114788297a8aa
121b8055b3777
13b6948b1c50
145ca83d86dd
15329c13534d
hex1c6f965f8b

122131210123 has 16 divisors (see below), whose sum is σ = 135089589600. Its totient is φ = 109696446720.

The previous prime is 122131210109. The next prime is 122131210181. The reversal of 122131210123 is 321012131221.

It is a cyclic number.

It is not a de Polignac number, because 122131210123 - 213 = 122131201931 is a prime.

It is a super-2 number, since 2×1221312101232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122131210123.

It is not an unprimeable number, because it can be changed into a prime (122131210823) by changing a digit.

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, 100288 + ... + 504301.

It is an arithmetic number, because the mean of its divisors is an integer number (8443099350).

Almost surely, 2122131210123 is an apocalyptic number.

122131210123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122131210123 is a deficient number, since it is larger than the sum of its proper divisors (12958379477).

122131210123 is a wasteful number, since it uses less digits than its factorization.

122131210123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605022.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122131210123 its reverse (321012131221), we get a palindrome (443143341344).

The spelling of 122131210123 in words is "one hundred twenty-two billion, one hundred thirty-one million, two hundred ten thousand, one hundred twenty-three".

Divisors: 1 13 41 379 533 4927 15539 202007 604589 7859657 24788149 229139231 322245937 2978810003 9394708471 122131210123