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12139041024 = 283411192801
BaseRepresentation
bin10110100111000101…
…10001000100000000
31011022222202011210000
423103202301010000
5144330043303044
65324313440000
7606550101105
oct132342610400
934288664700
1012139041024
11516a199210
122429410000
1311b5bc7516
14832292aac
154b0a87d69
hex2d38b1100

12139041024 has 360 divisors, whose sum is σ = 41580110880. Its totient is φ = 3483648000.

The previous prime is 12139041023. The next prime is 12139041059. The reversal of 12139041024 is 42014093121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12139041023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4332424 + ... + 4335224.

It is an arithmetic number, because the mean of its divisors is an integer number (115500308).

Almost surely, 212139041024 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 12139041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790055440).

12139041024 is an abundant number, since it is smaller than the sum of its proper divisors (29441069856).

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

12139041024 is a wasteful number, since it uses less digits than its factorization.

12139041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12139041024 in words is "twelve billion, one hundred thirty-nine million, forty-one thousand, twenty-four".