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12331011012132 = 2238081127160531
BaseRepresentation
bin1011001101110000100110…
…0001111111011000100100
31121122211111100200202211110
42303130021201333120210
53104012402304342012
642120442132505020
72411612643131061
oct263341141773044
947584440622743
1012331011012132
113a2460927a54a
1214719ba77b170
136b5a6a1a7bc7
14308b77541c68
15165b57d6273c
hexb370987f624

12331011012132 has 24 divisors (see below), whose sum is σ = 28775919749472. Its totient is φ = 4109828329600.

The previous prime is 12331011012101. The next prime is 12331011012137. The reversal of 12331011012132 is 23121011013321.

12331011012132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12331011012099 and 12331011012108.

It is not an unprimeable number, because it can be changed into a prime (12331011012137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63483294 + ... + 63677237.

It is an arithmetic number, because the mean of its divisors is an integer number (1198996656228).

Almost surely, 212331011012132 is an apocalyptic number.

12331011012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331011012132 is an abundant number, since it is smaller than the sum of its proper divisors (16444908737340).

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

12331011012132 is a wasteful number, since it uses less digits than its factorization.

12331011012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127168619 (or 127168617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12331011012132 its reverse (23121011013321), we get a palindrome (35452022025453).

The spelling of 12331011012132 in words is "twelve trillion, three hundred thirty-one billion, eleven million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8081 16162 24243 32324 48486 96972 127160531 254321062 381481593 508642124 762963186 1525926372 1027584251011 2055168502022 3082752753033 4110337004044 6165505506066 12331011012132