3125244135200 has 288 divisors, whose sum is σ = 8387841143808. Its totient is φ = 1127632896000.

The previous prime is 3125244135163. The next prime is 3125244135259. The reversal of 3125244135200 is 25314425213.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1501798160 + ... + 1501800240.

It is an arithmetic number, because the mean of its divisors is an integer number (29124448416).

Almost surely, 2^{3125244135200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125244135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193920571904).

3125244135200 is an abundant number, since it is smaller than the sum of its proper divisors (5262597008608).

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

3125244135200 is a wasteful number, since it uses less digits than its factorization.

3125244135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 3125244135200 in words is "three trillion, one hundred twenty-five billion, two hundred forty-four million, one hundred thirty-five thousand, two hundred".