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12192956160 = 2835721143137
BaseRepresentation
bin10110101101100000…
…11011111100000000
31011110202012100102220
423112300123330000
5144432344044120
65333521211040
7611103263100
oct132660337400
934422170386
1012192956160
115197673480
122443490a80
1311c4123978
148394c9200
154b5687b40
hex2d6c1bf00

12192956160 has 864 divisors, whose sum is σ = 50935433472. Its totient is φ = 2456616960.

The previous prime is 12192956141. The next prime is 12192956179. The reversal of 12192956160 is 6165929121.

It is an interprime number because it is at equal distance from previous prime (12192956141) and next prime (12192956179).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 88999612 + ... + 88999748.

It is an arithmetic number, because the mean of its divisors is an integer number (58953048).

Almost surely, 212192956160 is an apocalyptic number.

12192956160 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 12192956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467716736).

12192956160 is an abundant number, since it is smaller than the sum of its proper divisors (38742477312).

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

12192956160 is a wasteful number, since it uses less digits than its factorization.

12192956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 12192956160 in words is "twelve billion, one hundred ninety-two million, nine hundred fifty-six thousand, one hundred sixty".