10125134051200 has 288 divisors, whose sum is σ = 29103879922200. Its totient is φ = 3470519808000.

The previous prime is 10125134051143. The next prime is 10125134051257. The reversal of 10125134051200 is 215043152101.

It is an interprime number because it is at equal distance from previous prime (10125134051143) and next prime (10125134051257).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 799830471 + ... + 799843129.

Almost surely, 2^{10125134051200} is an apocalyptic number.

10125134051200 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 10125134051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551939961100).

10125134051200 is an abundant number, since it is smaller than the sum of its proper divisors (18978745871000).

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

10125134051200 is a wasteful number, since it uses less digits than its factorization.

10125134051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17798 (or 17774 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 10125134051200 in words is "ten trillion, one hundred twenty-five billion, one hundred thirty-four million, fifty-one thousand, two hundred".