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122132414232 = 23325633012937
BaseRepresentation
bin111000110111110101…
…0001011111100011000
3102200020121200110220100
41301233222023330120
54000111344223412
6132035025255400
711552361251343
oct1615752137430
9380217613810
10122132414232
1147883622534
121b805a94560
13b694c1403a
145ca862d45a
15329c2c1edc
hex1c6fa8bf18

122132414232 has 48 divisors (see below), whose sum is σ = 331362921240. Its totient is φ = 40638480768.

The previous prime is 122132414227. The next prime is 122132414251. The reversal of 122132414232 is 232414231221.

122132414232 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 2 + 414 + 232 = 666.

It is a super-2 number, since 2×1221324142322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122132414196 and 122132414205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465933 + ... + 1547004.

Almost surely, 2122132414232 is an apocalyptic number.

122132414232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122132414232 is an abundant number, since it is smaller than the sum of its proper divisors (209230507008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122132414232 is a wasteful number, since it uses less digits than its factorization.

122132414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013512 (or 3013505 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122132414232 its reverse (232414231221), we get a palindrome (354546645453).

The spelling of 122132414232 in words is "one hundred twenty-two billion, one hundred thirty-two million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 563 1126 1689 2252 3378 4504 5067 6756 10134 13512 20268 40536 3012937 6025874 9038811 12051748 18077622 24103496 27116433 36155244 54232866 72310488 108465732 216931464 1696283531 3392567062 5088850593 6785134124 10177701186 13570268248 15266551779 20355402372 30533103558 40710804744 61066207116 122132414232