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12083908980 = 223511132131827
BaseRepresentation
bin10110100000100000…
…11101000101110100
31011012011000011211110
423100100131011310
5144221440041410
65315024035020
7605310350223
oct132020350564
934164004743
1012083908980
115141062740
122412a62a70
1311a7663200
14828c20cba
154aace7720
hex2d041d174

12083908980 has 288 divisors, whose sum is σ = 40322354688. Its totient is φ = 2680204800.

The previous prime is 12083908939. The next prime is 12083909029. The reversal of 12083908980 is 8980938021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14611327 + ... + 14612153.

It is an arithmetic number, because the mean of its divisors is an integer number (140008176).

Almost surely, 212083908980 is an apocalyptic number.

12083908980 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 12083908980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20161177344).

12083908980 is an abundant number, since it is smaller than the sum of its proper divisors (28238445708).

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

12083908980 is a wasteful number, since it uses less digits than its factorization.

12083908980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 12083908980 in words is "twelve billion, eighty-three million, nine hundred eight thousand, nine hundred eighty".