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12023811072 = 2103771359
BaseRepresentation
bin10110011001010110…
…01100110000000000
31011000221220220000000
423030223030300000
5144111043423242
65305040000000
7603650464530
oct131453146000
934027826000
1012023811072
115110145249
1223b6900000
131198080810
14820c594c0
154a58c5a4c
hex2ccaccc00

12023811072 has 704 divisors, whose sum is σ = 45119155200. Its totient is φ = 3117367296.

The previous prime is 12023811071. The next prime is 12023811083. The reversal of 12023811072 is 27011832021.

12023811072 is a `hidden beast` number, since 1 + 202 + 381 + 10 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023811071) 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 63 ways as a sum of consecutive naturals, for example, 203793379 + ... + 203793437.

Almost surely, 212023811072 is an apocalyptic number.

12023811072 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 12023811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559577600).

12023811072 is an abundant number, since it is smaller than the sum of its proper divisors (33095344128).

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

12023811072 is an frugal number, since it uses more digits than its factorization.

12023811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12023811072 in words is "twelve billion, twenty-three million, eight hundred eleven thousand, seventy-two".