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12242066760 = 23335711147211
BaseRepresentation
bin10110110011010111…
…10001110101001000
31011121011121102112000
423121223301311020
5200032432114020
65342433551000
7612240564510
oct133153616510
934534542460
1012242066760
115212366a50
122457a15460
13120135a2b1
14841c30840
154b9b39090
hex2d9af1d48

12242066760 has 256 divisors, whose sum is σ = 50876467200. Its totient is φ = 2543788800.

The previous prime is 12242066743. The next prime is 12242066777. The reversal of 12242066760 is 6766024221.

It is an interprime number because it is at equal distance from previous prime (12242066743) and next prime (12242066777).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9555 + ... + 156765.

It is an arithmetic number, because the mean of its divisors is an integer number (198736200).

Almost surely, 212242066760 is an apocalyptic number.

12242066760 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 12242066760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25438233600).

12242066760 is an abundant number, since it is smaller than the sum of its proper divisors (38634400440).

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

12242066760 is a wasteful number, since it uses less digits than its factorization.

12242066760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147249 (or 147239 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12242066760 in words is "twelve billion, two hundred forty-two million, sixty-six thousand, seven hundred sixty".