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122112230121 = 32721272180303
BaseRepresentation
bin111000110111001110…
…1001100001011101001
3102200012012201000111200
41301232131030023221
54000041212330441
6132033024514413
711552024554500
oct1615635141351
9380165630450
10122112230121
1147873196952
121b7bb17ba09
13b690997b8b
145ca5a97837
15329a6367b6
hex1c6e74c2e9

122112230121 has 36 divisors (see below), whose sum is σ = 206797473792. Its totient is φ = 69228949104.

The previous prime is 122112230117. The next prime is 122112230143. The reversal of 122112230121 is 121032211221.

122112230121 is a `hidden beast` number, since 1 + 221 + 122 + 301 + 21 = 666.

It is not a de Polignac number, because 122112230121 - 22 = 122112230117 is a prime.

It is a super-2 number, since 2×1221122301212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112230094 and 122112230103.

It is not an unprimeable number, because it can be changed into a prime (122112230621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1034145 + ... + 1146158.

It is an arithmetic number, because the mean of its divisors is an integer number (5744374272).

Almost surely, 2122112230121 is an apocalyptic number.

It is an amenable number.

122112230121 is a deficient number, since it is larger than the sum of its proper divisors (84685243671).

122112230121 is a wasteful number, since it uses less digits than its factorization.

122112230121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180450 (or 2180440 counting only the distinct ones).

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

Adding to 122112230121 its reverse (121032211221), we get a palindrome (243144441342).

The spelling of 122112230121 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 127 147 381 441 889 1143 2667 6223 8001 18669 56007 2180303 6540909 15262121 19622727 45786363 106834847 137359089 276898481 320504541 830695443 961513623 1938289367 2492086329 5814868101 13568025569 17444604303 40704076707 122112230121