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12009900000 = 25355721943
BaseRepresentation
bin10110010111101100…
…01000011111100000
31010222222202010121010
423023312020133200
5144044013300000
65303421500520
7603421315500
oct131366103740
933888663533
1012009900000
11510330369a
1223b2111740
13119521ca07
1481d077a00
154a4578d50
hex2cbd887e0

12009900000 has 864 divisors, whose sum is σ = 49373089920. Its totient is φ = 2540160000.

The previous prime is 12009899983. The next prime is 12009900073. The reversal of 12009900000 is 990021.

It is a happy number.

12009900000 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12009900000.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 279299979 + ... + 279300021.

It is an arithmetic number, because the mean of its divisors is an integer number (57144780).

Almost surely, 212009900000 is an apocalyptic number.

12009900000 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 12009900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686544960).

12009900000 is an abundant number, since it is smaller than the sum of its proper divisors (37363189920).

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

12009900000 is an equidigital number, since it uses as much as digits as its factorization.

12009900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The spelling of 12009900000 in words is "twelve billion, nine million, nine hundred thousand".