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12021220992 = 273114121693
BaseRepresentation
bin10110011001000010…
…10100011010000000
31011000210001022002010
423030201110122000
5144104413032432
65304504252520
7603616456344
oct131441243200
934023038063
1012021220992
115109736290
1223b5a71140
131197684921
14820783624
154a55633cc
hex2cc854680

12021220992 has 192 divisors, whose sum is σ = 35725646880. Its totient is φ = 3551846400.

The previous prime is 12021220987. The next prime is 12021220993. The reversal of 12021220992 is 29902212021.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (12021220993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7099698 + ... + 7101390.

Almost surely, 212021220992 is an apocalyptic number.

12021220992 is a gapful number since it is divisible by the number (12) 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 12021220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862823440).

12021220992 is an abundant number, since it is smaller than the sum of its proper divisors (23704425888).

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

12021220992 is a wasteful number, since it uses less digits than its factorization.

12021220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12021220992 in words is "twelve billion, twenty-one million, two hundred twenty thousand, nine hundred ninety-two".