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122868312 = 2337731359
BaseRepresentation
bin1110101001011…
…01001001011000
322120012100122020
413110231021120
5222423241222
620105254440
73021235440
oct724551130
9276170566
10122868312
11633a0866
1235194420
131c5bc658
1412465120
15abc065c
hex752d258

122868312 has 32 divisors (see below), whose sum is σ = 351052800. Its totient is φ = 35105184.

The previous prime is 122868311. The next prime is 122868337. The reversal of 122868312 is 213868221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122868311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365512 + ... + 365847.

It is an arithmetic number, because the mean of its divisors is an integer number (10970400).

Almost surely, 2122868312 is an apocalyptic number.

122868312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122868312 is an abundant number, since it is smaller than the sum of its proper divisors (228184488).

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

122868312 is a wasteful number, since it uses less digits than its factorization.

122868312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731375 (or 731371 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 122868312 is about 11084.5979629394. The cubic root of 122868312 is about 497.1414377213.

Subtracting 122868312 from its reverse (213868221), we obtain a palindrome (90999909).

The spelling of 122868312 in words is "one hundred twenty-two million, eight hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 731359 1462718 2194077 2925436 4388154 5119513 5850872 8776308 10239026 15358539 17552616 20478052 30717078 40956104 61434156 122868312