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12012192000 = 28335313903
BaseRepresentation
bin10110010111111101…
…11000000100000000
31011000011001120122000
423023332320010000
5144100110121000
65303542544000
7603446642634
oct131376700400
934004046560
1012012192000
115104629706
1223b2a38000
131195843023
1481d4b2dc4
154a487d000
hex2cbfb8100

12012192000 has 288 divisors, whose sum is σ = 44334850560. Its totient is φ = 3203020800.

The previous prime is 12012191987. The next prime is 12012192053. The reversal of 12012192000 is 29121021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857049 + ... + 870951.

Almost surely, 212012192000 is an apocalyptic number.

12012192000 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 12012192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167425280).

12012192000 is an abundant number, since it is smaller than the sum of its proper divisors (32322658560).

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

12012192000 is an equidigital number, since it uses as much as digits as its factorization.

12012192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 12012192000 in words is "twelve billion, twelve million, one hundred ninety-two thousand".