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12197862144 = 2833132931151
BaseRepresentation
bin10110101110000110…
…01001101100000000
31011111002102121012000
423113003021230000
5144440123042034
65334214304000
7611163055206
oct132703115400
934432377160
1012197862144
11519a414406
122445058000
1311c5150a10
1483a005076
154b5d06599
hex2d70c9b00

12197862144 has 576 divisors, whose sum is σ = 41756467200. Its totient is φ = 3483648000.

The previous prime is 12197862139. The next prime is 12197862161. The reversal of 12197862144 is 44126879121.

12197862144 is a `hidden beast` number, since 1 + 2 + 19 + 7 + 8 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 12197862144.

It is a congruent number.

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, 80780469 + ... + 80780619.

Almost surely, 212197862144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12197862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20878233600).

12197862144 is an abundant number, since it is smaller than the sum of its proper divisors (29558605056).

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

12197862144 is a wasteful number, since it uses less digits than its factorization.

12197862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12197862144 in words is "twelve billion, one hundred ninety-seven million, eight hundred sixty-two thousand, one hundred forty-four".