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132122112 = 29386017
BaseRepresentation
bin1111110000000…
…00011000000000
3100012121111110120
413320000120000
5232310401422
621035500240
73163006443
oct770003000
9305544416
10132122112
1168641331
12382b7680
13214ac685
141379365a
15b8ec45c
hex7e00600

132122112 has 40 divisors (see below), whose sum is σ = 351985656. Its totient is φ = 44040192.

The previous prime is 132122099. The next prime is 132122119. The reversal of 132122112 is 211221231.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 132122091 and 132122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41473 + ... + 44544.

Almost surely, 2132122112 is an apocalyptic number.

132122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132122112 is an abundant number, since it is smaller than the sum of its proper divisors (219863544).

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

132122112 is an frugal number, since it uses more digits than its factorization.

132122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86038 (or 86022 counting only the distinct ones).

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

The square root of 132122112 is about 11494.4383072858. The cubic root of 132122112 is about 509.3212963418.

Adding to 132122112 its reverse (211221231), we get a palindrome (343343343).

The spelling of 132122112 in words is "one hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 86017 172034 258051 344068 516102 688136 1032204 1376272 2064408 2752544 4128816 5505088 8257632 11010176 16515264 22020352 33030528 44040704 66061056 132122112