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12108983040 = 2832571121773
BaseRepresentation
bin10110100011100000…
…00110101100000000
31011020220012001222100
423101300012230000
5144244344424130
65321321310400
7606033441360
oct132160065400
934226161870
1012108983040
115154229200
12241b335400
1311ac90202b
1482c2aa9a0
154ad0ebc60
hex2d1c06b00

12108983040 has 1296 divisors, whose sum is σ = 56488670784. Its totient is φ = 2335703040.

The previous prime is 12108982997. The next prime is 12108983053. The reversal of 12108983040 is 4038980121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12108982986 and 12108983004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165876444 + ... + 165876516.

Almost surely, 212108983040 is an apocalyptic number.

12108983040 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 12108983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28244335392).

12108983040 is an abundant number, since it is smaller than the sum of its proper divisors (44379687744).

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

12108983040 is a wasteful number, since it uses less digits than its factorization.

12108983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12108983040 in words is "twelve billion, one hundred eight million, nine hundred eighty-three thousand, forty".