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12040047360 = 28375111723
BaseRepresentation
bin10110011011010010…
…01000101100000000
31011002002110210000000
423031221020230000
5144124223003420
65310420000000
7604235466615
oct131551105400
934062423000
1012040047360
115119324870
122400230000
13119b546aa3
1482308450c
154a7031690
hex2cda48b00

12040047360 has 1152 divisors, whose sum is σ = 52132792320. Its totient is φ = 2627665920.

The previous prime is 12040047307. The next prime is 12040047367. The reversal of 12040047360 is 6374004021.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (12040047367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 523480309 + ... + 523480331.

It is an arithmetic number, because the mean of its divisors is an integer number (45254160).

Almost surely, 212040047360 is an apocalyptic number.

12040047360 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 12040047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066396160).

12040047360 is an abundant number, since it is smaller than the sum of its proper divisors (40092744960).

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

12040047360 is an equidigital number, since it uses as much as digits as its factorization.

12040047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 12040047360 in words is "twelve billion, forty million, forty-seven thousand, three hundred sixty".