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12202484112 = 243572132379
BaseRepresentation
bin10110101110101001…
…10010000110010000
31011111102010102100000
423113110302012100
5144442313442422
65334501330000
7611250255300
oct132724620620
934442112300
1012202484112
1151a1a90a15
122446706900
1311c60ab700
1483a889600
154b641acac
hex2d7532190

12202484112 has 540 divisors, whose sum is σ = 44727293520. Its totient is φ = 3209746176.

The previous prime is 12202484093. The next prime is 12202484137. The reversal of 12202484112 is 21148420221.

12202484112 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 248 + 411 + 2 = 666.

It is a super-2 number, since 2×122024841122 (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 107 ways as a sum of consecutive naturals, for example, 32196339 + ... + 32196717.

Almost surely, 212202484112 is an apocalyptic number.

12202484112 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 12202484112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363646760).

12202484112 is an abundant number, since it is smaller than the sum of its proper divisors (32524809408).

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

12202484112 is a wasteful number, since it uses less digits than its factorization.

12202484112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12202484112 in words is "twelve billion, two hundred two million, four hundred eighty-four thousand, one hundred twelve".