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122117088 = 2535324001
BaseRepresentation
bin1110100011101…
…01101111100000
322111210012011010
413101311233200
5222230221323
620041220520
73011656332
oct721655740
9274705133
10122117088
1162a28415
1234a91740
131c3b8742
141230b452
15aac2c93
hex7475be0

122117088 has 48 divisors (see below), whose sum is σ = 326619216. Its totient is φ = 39936000.

The previous prime is 122117087. The next prime is 122117111. The reversal of 122117088 is 880711221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122117087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6913 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (6804567).

Almost surely, 2122117088 is an apocalyptic number.

It is an amenable number.

122117088 is an abundant number, since it is smaller than the sum of its proper divisors (204502128).

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

122117088 is a wasteful number, since it uses less digits than its factorization.

122117088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24067 (or 24059 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 122117088 is about 11050.6600707831. The cubic root of 122117088 is about 496.1261819099.

The spelling of 122117088 in words is "one hundred twenty-two million, one hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 24001 48002 72003 96004 144006 192008 288012 384016 576024 768032 1152048 1272053 2304096 2544106 3816159 5088212 7632318 10176424 15264636 20352848 30529272 40705696 61058544 122117088