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12139308000 = 25365323181
BaseRepresentation
bin10110100111000111…
…10010001111100000
31011100000020202000000
423103203302033200
5144330130324000
65324323300000
7606552262341
oct132343621740
934300222000
1012139308000
11516a360856
12242951a600
1311b5c8bbb1
148323220c8
154b0adc000
hex2d38f23e0

12139308000 has 672 divisors, whose sum is σ = 46921073472. Its totient is φ = 3079296000.

The previous prime is 12139307969. The next prime is 12139308001. The reversal of 12139308000 is 80393121.

12139308000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12139308001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 67067910 + ... + 67068090.

It is an arithmetic number, because the mean of its divisors is an integer number (69823026).

Almost surely, 212139308000 is an apocalyptic number.

12139308000 is a gapful number since it is divisible by the number (10) 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 12139308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23460536736).

12139308000 is an abundant number, since it is smaller than the sum of its proper divisors (34781765472).

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

12139308000 is an equidigital number, since it uses as much as digits as its factorization.

12139308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12139308000 in words is "twelve billion, one hundred thirty-nine million, three hundred eight thousand".