125121490685100 has 648 divisors, whose sum is σ = 496830930785280. Its totient is φ = 26102628034560.

The previous prime is 125121490685089. The next prime is 125121490685101. The reversal of 125121490685100 is 1586094121521.

125121490685100 is a `hidden beast` number, since 1 + 2 + 5 + 121 + 4 + 9 + 0 + 6 + 8 + 510 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125121490685101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 49797589 + ... + 52249811.

It is an arithmetic number, because the mean of its divisors is an integer number (766714399360).

Almost surely, 2^{125121490685100} is an apocalyptic number.

125121490685100 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 125121490685100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248415465392640).

125121490685100 is an abundant number, since it is smaller than the sum of its proper divisors (371709440100180).

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

125121490685100 is a wasteful number, since it uses less digits than its factorization.

125121490685100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452359 (or 2452342 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 125121490685100 in words is "one hundred twenty-five trillion, one hundred twenty-one billion, four hundred ninety million, six hundred eighty-five thousand, one hundred".