125012412000 has 576 divisors, whose sum is σ = 508668346368. Its totient is φ = 28483200000.

The previous prime is 125012411963. The next prime is 125012412017. The reversal of 125012412000 is 214210521.

125012412000 is a `hidden beast` number, since 1 + 250 + 1 + 2 + 412 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108611425 + ... + 108612575.

It is an arithmetic number, because the mean of its divisors is an integer number (883104768).

Almost surely, 2^125012412000 is an apocalyptic number.

125012412000 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 125012412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254334173184).

125012412000 is an abundant number, since it is smaller than the sum of its proper divisors (383655934368).

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

125012412000 is a wasteful number, since it uses less digits than its factorization.

125012412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 125012412000 its reverse (214210521), we get a palindrome (125226622521).

The spelling of 125012412000 in words is "one hundred twenty-five billion, twelve million, four hundred twelve thousand".