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122132210121 = 32191843338747
BaseRepresentation
bin111000110111110100…
…1011010000111001001
3102200020121022002220200
41301233221122013021
54000111321210441
6132035021042413
711552356441305
oct1615751320711
9380217262820
10122132210121
11478834a3149
121b8059b6409
13b694b7216c
145ca85b8d05
15329c2817b6
hex1c6fa5a1c9

122132210121 has 24 divisors (see below), whose sum is σ = 185712964320. Its totient is φ = 77129957376.

The previous prime is 122132210117. The next prime is 122132210153. The reversal of 122132210121 is 121012231221.

122132210121 is a `hidden beast` number, since 1 + 221 + 322 + 1 + 0 + 121 = 666.

It is not a de Polignac number, because 122132210121 - 22 = 122132210117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122132210094 and 122132210103.

It is not an unprimeable number, because it can be changed into a prime (122132210621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132670 + ... + 3171416.

It is an arithmetic number, because the mean of its divisors is an integer number (7738040180).

Almost surely, 2122132210121 is an apocalyptic number.

It is an amenable number.

122132210121 is a deficient number, since it is larger than the sum of its proper divisors (63580754199).

122132210121 is a wasteful number, since it uses less digits than its factorization.

122132210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57205 (or 57202 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122132210121 its reverse (121012231221), we get a palindrome (243144441342).

The spelling of 122132210121 in words is "one hundred twenty-two billion, one hundred thirty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 171 18433 38747 55299 116241 165897 348723 350227 736193 1050681 2208579 3152043 6625737 714223451 2142670353 6428011059 13570245569 40710736707 122132210121