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12217830912 = 293372171061
BaseRepresentation
bin10110110000011110…
…10100111000000000
31011112111000010012000
423120033110320000
5200010231042122
65340210304000
7611524564200
oct133017247000
934474003160
1012217830912
1151aa713221
12244b888000
1311c9322b61
1483c922400
154b794d0ac
hex2d83d4e00

12217830912 has 480 divisors, whose sum is σ = 44586923040. Its totient is φ = 3282370560.

The previous prime is 12217830899. The next prime is 12217830917. The reversal of 12217830912 is 21903871221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12217830917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11514862 + ... + 11515922.

It is an arithmetic number, because the mean of its divisors is an integer number (92889423).

Almost surely, 212217830912 is an apocalyptic number.

12217830912 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 12217830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293461520).

12217830912 is an abundant number, since it is smaller than the sum of its proper divisors (32369092128).

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

12217830912 is a wasteful number, since it uses less digits than its factorization.

12217830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12217830912 in words is "twelve billion, two hundred seventeen million, eight hundred thirty thousand, nine hundred twelve".