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12125993800608 = 25381921391151
BaseRepresentation
bin1011000001110100110110…
…0011011001001110100000
31120221020022100122100000000
42300131031203121032200
53042133013403104413
641442334334300000
72361034300443162
oct260351543311640
946836270570000
1012125993800608
113955672416046
12143a122957600
1369c6265b201c
142dcc88d9c932
151606591d7073
hexb074d8d93a0

12125993800608 has 648 divisors, whose sum is σ = 38096516989440. Its totient is φ = 3798409593600.

The previous prime is 12125993800603. The next prime is 12125993800619. The reversal of 12125993800608 is 80600839952121.

12125993800608 is a `hidden beast` number, since 1 + 2 + 1 + 25 + 9 + 9 + 3 + 8 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×121259938006082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12125993800603) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10535180833 + ... + 10535181983.

It is an arithmetic number, because the mean of its divisors is an integer number (58790921280).

Almost surely, 212125993800608 is an apocalyptic number.

12125993800608 is a gapful number since it is divisible by the number (18) 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 12125993800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048258494720).

12125993800608 is an abundant number, since it is smaller than the sum of its proper divisors (25970523188832).

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

12125993800608 is an equidigital number, since it uses as much as digits as its factorization.

12125993800608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 12125993800608 in words is "twelve trillion, one hundred twenty-five billion, nine hundred ninety-three million, eight hundred thousand, six hundred eight".