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12246299520 = 27357213171931
BaseRepresentation
bin10110110011110111…
…11011001110000000
31011121110120110202220
423121323323032000
5200040023041040
65343104411040
7612321554100
oct133173731600
934543513686
1012246299520
1152147980a4
122459316a80
1312021acaa0
14842613200
154ba1c32d0
hex2d9efb380

12246299520 has 1536 divisors, whose sum is σ = 56260915200. Its totient is φ = 2229534720.

The previous prime is 12246299459. The next prime is 12246299573. The reversal of 12246299520 is 2599264221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 395041905 + ... + 395041935.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 212246299520 is an apocalyptic number.

12246299520 is a gapful number since it is divisible by the number (10) 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 12246299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28130457600).

12246299520 is an abundant number, since it is smaller than the sum of its proper divisors (44014615680).

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

12246299520 is a wasteful number, since it uses less digits than its factorization.

12246299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12246299520 in words is "twelve billion, two hundred forty-six million, two hundred ninety-nine thousand, five hundred twenty".