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122113013232 = 24371331327299
BaseRepresentation
bin111000110111010000…
…0001011010111110000
3102200012021011210201210
41301232200023113300
54000041412410412
6132033053400120
711552034325560
oct1615640132760
9380167153653
10122113013232
1147873681251
121b7bb499040
13b690bb0462
145ca5c1cda0
15329a73d83c
hex1c6e80b5f0

122113013232 has 80 divisors (see below), whose sum is σ = 360564422400. Its totient is φ = 34885533696.

The previous prime is 122113013221. The next prime is 122113013237. The reversal of 122113013232 is 232310311221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122113013199 and 122113013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113013237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4459519 + ... + 4486817.

It is an arithmetic number, because the mean of its divisors is an integer number (4507055280).

Almost surely, 2122113013232 is an apocalyptic number.

122113013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113013232 is an abundant number, since it is smaller than the sum of its proper divisors (238451409168).

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

122113013232 is a wasteful number, since it uses less digits than its factorization.

122113013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40630 (or 40624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122113013232 its reverse (232310311221), we get a palindrome (354423324453).

The spelling of 122113013232 in words is "one hundred twenty-two billion, one hundred thirteen million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 13313 26626 27299 39939 53252 54598 79878 81897 93191 106504 109196 159756 163794 186382 191093 213008 218392 279573 319512 327588 372764 382186 436784 559146 573279 639024 655176 745528 764372 1118292 1146558 1310352 1491056 1528744 2236584 2293116 3057488 4473168 4586232 9172464 363431587 726863174 1090294761 1453726348 2180589522 2544021109 2907452696 4361179044 5088042218 5814905392 7632063327 8722358088 10176084436 15264126654 17444716176 20352168872 30528253308 40704337744 61056506616 122113013232