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121032132 = 223132113677
BaseRepresentation
bin1110011011011…
…00110111000100
322102202001212120
413031230313010
5221441012012
620002045540
72666520234
oct715546704
9272661776
10121032132
1162357261
12346498b0
131c0c8960
1412107cc4
15a95b58c
hex736cdc4

121032132 has 48 divisors (see below), whose sum is σ = 305656512. Its totient is φ = 37054080.

The previous prime is 121032101. The next prime is 121032133. The reversal of 121032132 is 231230121.

It is not an unprimeable number, because it can be changed into a prime (121032133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31078 + ... + 34754.

It is an arithmetic number, because the mean of its divisors is an integer number (6367844).

Almost surely, 2121032132 is an apocalyptic number.

121032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152828256).

121032132 is an abundant number, since it is smaller than the sum of its proper divisors (184624380).

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

121032132 is a wasteful number, since it uses less digits than its factorization.

121032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121032132 is about 11001.4604485041. The cubic root of 121032132 is about 494.6525221805.

Adding to 121032132 its reverse (231230121), we get a palindrome (352262253).

The spelling of 121032132 in words is "one hundred twenty-one million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 422 633 844 1266 2532 2743 3677 5486 7354 8229 10972 11031 14708 16458 22062 32916 44124 47801 95602 143403 191204 286806 573612 775847 1551694 2327541 3103388 4655082 9310164 10086011 20172022 30258033 40344044 60516066 121032132