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12099850560 = 26325719311019
BaseRepresentation
bin10110100010011010…
…10001000101000000
31011020021000002120100
423101031101011000
5144240030204220
65320353442400
7605563014150
oct132115210500
934207002510
1012099850560
11514a0608a6
122418270400
1311aaa552b5
1482adb0760
154ac3e5d90
hex2d1351140

12099850560 has 672 divisors, whose sum is σ = 51733094400. Its totient is φ = 2533109760.

The previous prime is 12099850559. The next prime is 12099850577. The reversal of 12099850560 is 6505899021.

12099850560 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 9 + 85 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11873731 + ... + 11874749.

Almost surely, 212099850560 is an apocalyptic number.

12099850560 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 12099850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25866547200).

12099850560 is an abundant number, since it is smaller than the sum of its proper divisors (39633243840).

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

12099850560 is a wasteful number, since it uses less digits than its factorization.

12099850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 12099850560 in words is "twelve billion, ninety-nine million, eight hundred fifty thousand, five hundred sixty".