125596102741200 has 2160 divisors, whose sum is σ = 588241958327296. Its totient is φ = 24135509606400.

The previous prime is 125596102741199. The next prime is 125596102741201. The reversal of 125596102741200 is 2147201695521.

125596102741200 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 9 + 610 + 2 + 7 + 4 + 1 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125596102741199) and next prime (125596102741201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125596102741201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2934947004 + ... + 2934989796.

Almost surely, 2^{125596102741200} is an apocalyptic number.

125596102741200 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 125596102741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294120979163648).

125596102741200 is an abundant number, since it is smaller than the sum of its proper divisors (462645855586096).

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

125596102741200 is a wasteful number, since it uses less digits than its factorization.

125596102741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42902 (or 42871 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125596102741200 in words is "one hundred twenty-five trillion, five hundred ninety-six billion, one hundred two million, seven hundred forty-one thousand, two hundred".