125516402200 has 288 divisors, whose sum is σ = 356614898400. Its totient is φ = 40197427200.

The previous prime is 125516402153. The next prime is 125516402201. The reversal of 125516402200 is 2204615521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125516402201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39014992 + ... + 39018208.

It is an arithmetic number, because the mean of its divisors is an integer number (1238246175).

Almost surely, 2^125516402200 is an apocalyptic number.

125516402200 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 125516402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178307449200).

125516402200 is an abundant number, since it is smaller than the sum of its proper divisors (231098496200).

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

125516402200 is a wasteful number, since it uses less digits than its factorization.

125516402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 125516402200 in words is "one hundred twenty-five billion, five hundred sixteen million, four hundred two thousand, two hundred".