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12246820920 = 233653711351
BaseRepresentation
bin10110110011111011…
…11010100000111000
31011121111112222000000
423121331322200320
5200040141232140
65343123513000
7612326155155
oct133175724070
934544488000
1012246820920
115215013904
122459528760
1312023331c9
1484270b22c
154ba277a30
hex2d9f7a838

12246820920 has 224 divisors, whose sum is σ = 42434457120. Its totient is φ = 3177273600.

The previous prime is 12246820867. The next prime is 12246820933. The reversal of 12246820920 is 2902864221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 1073245 + ... + 1084595.

Almost surely, 212246820920 is an apocalyptic number.

12246820920 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 12246820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217228560).

12246820920 is an abundant number, since it is smaller than the sum of its proper divisors (30187636200).

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

12246820920 is a wasteful number, since it uses less digits than its factorization.

12246820920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12246820920 in words is "twelve billion, two hundred forty-six million, eight hundred twenty thousand, nine hundred twenty".