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12091392000 = 218325341
BaseRepresentation
bin10110100001011010…
…00000000000000000
31011012200002100121100
423100231000000000
5144230344021000
65315452254400
7605431064502
oct132055000000
934180070540
1012091392000
115145303856
122415471400
1311a908322c
14829c0bd72
154ab7c4a00
hex2d0b40000

12091392000 has 456 divisors, whose sum is σ = 44656669512. Its totient is φ = 3145728000.

The previous prime is 12091391989. The next prime is 12091392013. The reversal of 12091392000 is 29319021.

It can be written as a sum of positive squares in 4 ways, for example, as 2727346176 + 9364045824 = 52224^2 + 96768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294911980 + ... + 294912020.

Almost surely, 212091392000 is an apocalyptic number.

12091392000 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 12091392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328334756).

12091392000 is an abundant number, since it is smaller than the sum of its proper divisors (32565277512).

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

12091392000 is an frugal number, since it uses more digits than its factorization.

12091392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12091392000 in words is "twelve billion, ninety-one million, three hundred ninety-two thousand".