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12020536512 = 263347891663
BaseRepresentation
bin10110011000111101…
…01101010011000000
31011000201202112011000
423030132231103000
5144104224132022
65304441452000
7603610605645
oct131436552300
934021675130
1012020536512
115109308aa6
1223b57a1000
1311974a51ca
14820645dcc
154a547a6ac
hex2cc7ad4c0

12020536512 has 224 divisors, whose sum is σ = 36517478400. Its totient is φ = 3875198976.

The previous prime is 12020536499. The next prime is 12020536547. The reversal of 12020536512 is 21563502021.

It is a happy number.

12020536512 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 5 + 3 + 651 + 2 = 666.

It is a super-2 number, since 2×120205365122 (a number of 21 digits) contains 22 as substring.

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

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, 7227393 + ... + 7229055.

Almost surely, 212020536512 is an apocalyptic number.

12020536512 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 12020536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258739200).

12020536512 is an abundant number, since it is smaller than the sum of its proper divisors (24496941888).

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

12020536512 is a wasteful number, since it uses less digits than its factorization.

12020536512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12020536512 in words is "twelve billion, twenty million, five hundred thirty-six thousand, five hundred twelve".