125046451200 has 528 divisors, whose sum is σ = 477432192384. Its totient is φ = 28527820800.

The previous prime is 125046451199. The next prime is 125046451213. The reversal of 125046451200 is 2154640521.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×125046451200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14357247 + ... + 14365953.

Almost surely, 2^125046451200 is an apocalyptic number.

125046451200 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 125046451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238716096192).

125046451200 is an abundant number, since it is smaller than the sum of its proper divisors (352385741184).

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

125046451200 is a wasteful number, since it uses less digits than its factorization.

125046451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 125046451200 in words is "one hundred twenty-five billion, forty-six million, four hundred fifty-one thousand, two hundred".