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12168122069376 = 2732721321275523
BaseRepresentation
bin1011000100010001110010…
…0101111111000110000000
31121002021001100102010101200
42301010130211333012000
53043330303222210001
641513542541301200
72364055260016200
oct261043445770600
947067040363350
1012168122069376
11397152075a999
12144631b564800
136a35ab56c400
14300d24094400
151617c296c086
hexb111c97f180

12168122069376 has 432 divisors, whose sum is σ = 44106044647860. Its totient is φ = 3209172535296.

The previous prime is 12168122069371. The next prime is 12168122069399. The reversal of 12168122069376 is 67396022186121.

It is a happy number.

12168122069376 is a `hidden beast` number, since 1 + 2 + 1 + 68 + 1 + 2 + 206 + 9 + 376 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12168122069371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8901951 + ... + 10177473.

Almost surely, 212168122069376 is an apocalyptic number.

12168122069376 is a gapful number since it is divisible by the number (16) 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 12168122069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22053022323930).

12168122069376 is an abundant number, since it is smaller than the sum of its proper divisors (31937922578484).

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

12168122069376 is a wasteful number, since it uses less digits than its factorization.

12168122069376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275583 (or 1275548 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12168122069376 in words is "twelve trillion, one hundred sixty-eight billion, one hundred twenty-two million, sixty-nine thousand, three hundred seventy-six".