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122112312 = 23372103837
BaseRepresentation
bin1110100011101…
…00100100111000
322111202221121020
413101310210320
5222230043222
620041142440
73011636400
oct721644470
9274687536
10122112312
1162a24873
1234a8aa20
131c3b650a
1412309800
15aac165c
hex7474938

122112312 has 48 divisors (see below), whose sum is σ = 355125960. Its totient is φ = 34888896.

The previous prime is 122112311. The next prime is 122112349. The reversal of 122112312 is 213211221.

It is a super-2 number, since 2×1221123122 = 29822833483970688, which 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 = 122112291 and 122112300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112311) 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 11 ways as a sum of consecutive naturals, for example, 50743 + ... + 53094.

Almost surely, 2122112312 is an apocalyptic number.

122112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112312 is an abundant number, since it is smaller than the sum of its proper divisors (233013648).

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

122112312 is a wasteful number, since it uses less digits than its factorization.

122112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103860 (or 103849 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 122112312 is about 11050.4439729814. The cubic root of 122112312 is about 496.1197139930.

Adding to 122112312 its reverse (213211221), we get a palindrome (335323533).

The spelling of 122112312 in words is "one hundred twenty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 103837 207674 311511 415348 623022 726859 830696 1246044 1453718 2180577 2492088 2907436 4361154 5088013 5814872 8722308 10176026 15264039 17444616 20352052 30528078 40704104 61056156 122112312