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12010344632 = 231113231109239
BaseRepresentation
bin10110010111101111…
…10101000010111000
31011000000120201111222
423023313311002320
5144044122012012
65303435211212
7603425150006
oct131367650270
934000521458
1012010344632
115103587760
1223b22a6b08
131195347200
1481d151a76
154a4615972
hex2cbdf50b8

12010344632 has 192 divisors, whose sum is σ = 27827712000. Its totient is φ = 4811788800.

The previous prime is 12010344629. The next prime is 12010344649. The reversal of 12010344632 is 23644301021.

It is a super-2 number, since 2×120103446322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50252369 + ... + 50252607.

It is an arithmetic number, because the mean of its divisors is an integer number (144936000).

Almost surely, 212010344632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010344632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913856000).

12010344632 is an abundant number, since it is smaller than the sum of its proper divisors (15817367368).

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

12010344632 is a wasteful number, since it uses less digits than its factorization.

12010344632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12010344632 its reverse (23644301021), we get a palindrome (35654645653).

The spelling of 12010344632 in words is "twelve billion, ten million, three hundred forty-four thousand, six hundred thirty-two".