12257674587060 has 192 divisors, whose sum is σ = 41292937728000. Its totient is φ = 2654040895488.

The previous prime is 12257674587031. The next prime is 12257674587089. The reversal of 12257674587060 is 6078547675221.

It is an interprime number because it is at equal distance from previous prime (12257674587031) and next prime (12257674587089).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12257674586985 and 12257674587003.

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, 90896644 + ... + 91031396.

It is an arithmetic number, because the mean of its divisors is an integer number (215067384000).

Almost surely, 2^{12257674587060} is an apocalyptic number.

12257674587060 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 12257674587060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646468864000).

12257674587060 is an abundant number, since it is smaller than the sum of its proper divisors (29035263140940).

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

12257674587060 is a wasteful number, since it uses less digits than its factorization.

12257674587060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146190 (or 146188 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 12257674587060 in words is "twelve trillion, two hundred fifty-seven billion, six hundred seventy-four million, five hundred eighty-seven thousand, sixty".