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12040138880 = 2757211219167
BaseRepresentation
bin10110011011010010…
…11111000010000000
31011002002122102112122
423031221133002000
5144124233421010
65310421543412
7604236330500
oct131551370200
934062572478
1012040138880
115119387600
122400274b68
13119b579643
148230a9a00
154a704d855
hex2cda5f080

12040138880 has 576 divisors, whose sum is σ = 38972404800. Its totient is φ = 3533967360.

The previous prime is 12040138879. The next prime is 12040138897. The reversal of 12040138880 is 8883104021.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12040138880.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72096557 + ... + 72096723.

It is an arithmetic number, because the mean of its divisors is an integer number (67660425).

Almost surely, 212040138880 is an apocalyptic number.

12040138880 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 12040138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486202400).

12040138880 is an abundant number, since it is smaller than the sum of its proper divisors (26932265920).

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

12040138880 is a wasteful number, since it uses less digits than its factorization.

12040138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 12040138880 in words is "twelve billion, forty million, one hundred thirty-eight thousand, eight hundred eighty".