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122137272 = 23323154721
BaseRepresentation
bin1110100011110…
…10101010111000
322111211012211200
413101322222320
5222231343042
620041454200
73012102225
oct721725270
9274735750
10122137272
1162a415a4
1234aa1360
131c3c499a
141231494c
15aac8c4c
hex747aab8

122137272 has 48 divisors (see below), whose sum is σ = 341465280. Its totient is φ = 39398400.

The previous prime is 122137271. The next prime is 122137277. The reversal of 122137272 is 272731221.

122137272 is a `hidden beast` number, since 1 + 221 + 372 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122137271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25129 + ... + 29592.

It is an arithmetic number, because the mean of its divisors is an integer number (7113860).

Almost surely, 2122137272 is an apocalyptic number.

122137272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122137272 is an abundant number, since it is smaller than the sum of its proper divisors (219328008).

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

122137272 is a wasteful number, since it uses less digits than its factorization.

122137272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54764 (or 54757 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 122137272 is about 11051.5732816645. The cubic root of 122137272 is about 496.1535143097.

Adding to 122137272 its reverse (272731221), we get a palindrome (394868493).

The spelling of 122137272 in words is "one hundred twenty-two million, one hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 54721 109442 164163 218884 328326 437768 492489 656652 984978 1313304 1696351 1969956 3392702 3939912 5089053 6785404 10178106 13570808 15267159 20356212 30534318 40712424 61068636 122137272