10125601200 has 1080 divisors, whose sum is σ = 44444097360. Its totient is φ = 2108620800.

The previous prime is 10125601153. The next prime is 10125601219. The reversal of 10125601200 is 210652101.

10125601200 is a `hidden beast` number, since 101 + 2 + 560 + 1 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×10125601200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113770756 + ... + 113770844.

It is an arithmetic number, because the mean of its divisors is an integer number (41151942).

Almost surely, 2^10125601200 is an apocalyptic number.

10125601200 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 10125601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222048680).

10125601200 is an abundant number, since it is smaller than the sum of its proper divisors (34318496160).

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

10125601200 is a wasteful number, since it uses less digits than its factorization.

10125601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10125601200 in words is "ten billion, one hundred twenty-five million, six hundred one thousand, two hundred".