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12021000192 = 211322943523
BaseRepresentation
bin10110011001000000…
…11110100000000000
31011000202122002012100
423030200132200000
5144104334001232
65304455430400
7603614546535
oct131440364000
934022562170
1012021000192
1151095a5403
1223b5985400
131197608286
14820726d8c
154a551cc7c
hex2cc81e800

12021000192 has 288 divisors, whose sum is σ = 36821584800. Its totient is φ = 3771629568.

The previous prime is 12021000191. The next prime is 12021000353. The reversal of 12021000192 is 29100012021.

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 not an unprimeable number, because it can be changed into a prime (12021000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22984443 + ... + 22984965.

It is an arithmetic number, because the mean of its divisors is an integer number (127852725).

Almost surely, 212021000192 is an apocalyptic number.

12021000192 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 12021000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410792400).

12021000192 is an abundant number, since it is smaller than the sum of its proper divisors (24800584608).

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

12021000192 is a wasteful number, since it uses less digits than its factorization.

12021000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

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

The spelling of 12021000192 in words is "twelve billion, twenty-one million, one hundred ninety-two", and thus it is an aban number.