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122112132 = 22352319457
BaseRepresentation
bin1110100011101…
…00100010000100
322111202221100120
413101310202010
5222230042012
620041141540
73011636022
oct721644204
9274687316
10122112132
1162a2471a
1234a8a8b0
131c3b63cc
1412309712
15aac158c
hex7474884

122112132 has 24 divisors (see below), whose sum is σ = 285487776. Its totient is φ = 40624128.

The previous prime is 122112113. The next prime is 122112167. The reversal of 122112132 is 231211221.

It is a super-2 number, since 2×1221121322 = 29822745563170848, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3453 + ... + 16004.

It is an arithmetic number, because the mean of its divisors is an integer number (11895324).

Almost surely, 2122112132 is an apocalyptic number.

122112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112132 is an abundant number, since it is smaller than the sum of its proper divisors (163375644).

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

122112132 is a wasteful number, since it uses less digits than its factorization.

122112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19987 (or 19985 counting only the distinct ones).

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

The square root of 122112132 is about 11050.4358285092. The cubic root of 122112132 is about 496.1194702240.

Adding to 122112132 its reverse (231211221), we get a palindrome (353323353).

The spelling of 122112132 in words is "one hundred twenty-two million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 523 1046 1569 2092 3138 6276 19457 38914 58371 77828 116742 233484 10176011 20352022 30528033 40704044 61056066 122112132