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12139189920 = 253251113167353
BaseRepresentation
bin10110100111000110…
…10101011010100000
31011100000000202000200
423103203111122200
5144330113034140
65324320545200
7606551261154
oct132343253240
934300022020
1012139189920
11516a290070
122429482200
1311b5c4a220
148322d1064
154b0ab7030
hex2d38d56a0

12139189920 has 576 divisors, whose sum is σ = 49097228544. Its totient is φ = 2692546560.

The previous prime is 12139189919. The next prime is 12139189943. The reversal of 12139189920 is 2998193121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34388464 + ... + 34388816.

It is an arithmetic number, because the mean of its divisors is an integer number (85238244).

Almost surely, 212139189920 is an apocalyptic number.

12139189920 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 12139189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548614272).

12139189920 is an abundant number, since it is smaller than the sum of its proper divisors (36958038624).

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

12139189920 is a wasteful number, since it uses less digits than its factorization.

12139189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 12139189920 in words is "twelve billion, one hundred thirty-nine million, one hundred eighty-nine thousand, nine hundred twenty".