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12132313040 = 245473226679
BaseRepresentation
bin10110100110010010…
…00110011111010000
31011022112002100201102
423103021012133100
5144321333004130
65323513323532
7606435650021
oct132311063720
934275070642
1012132313040
1151664133a1
1224271065a8
1311b46b0073
14831420c48
154b01a9645
hex2d32467d0

12132313040 has 40 divisors (see below), whose sum is σ = 28807799040. Its totient is φ = 4749670016.

The previous prime is 12132313001. The next prime is 12132313043. The reversal of 12132313040 is 4031323121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132313043) 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, 1609580 + ... + 1617099.

It is an arithmetic number, because the mean of its divisors is an integer number (720194976).

Almost surely, 212132313040 is an apocalyptic number.

12132313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132313040 is an abundant number, since it is smaller than the sum of its proper divisors (16675486000).

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

12132313040 is a wasteful number, since it uses less digits than its factorization.

12132313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226739 (or 3226733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12132313040 its reverse (4031323121), we get a palindrome (16163636161).

The spelling of 12132313040 in words is "twelve billion, one hundred thirty-two million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 3226679 6453358 12906716 16133395 25813432 32266790 51626864 64533580 129067160 151653913 258134320 303307826 606615652 758269565 1213231304 1516539130 2426462608 3033078260 6066156520 12132313040