1252422617600 has 960 divisors, whose sum is σ = 4033284710400. Its totient is φ = 374022144000.

The previous prime is 1252422617561. The next prime is 1252422617617. The reversal of 1252422617600 is 67162242521.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5469094286 + ... + 5469094514.

It is an arithmetic number, because the mean of its divisors is an integer number (4201338240).

Almost surely, 2^{1252422617600} is an apocalyptic number.

1252422617600 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 1252422617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016642355200).

1252422617600 is an abundant number, since it is smaller than the sum of its proper divisors (2780862092800).

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

1252422617600 is a wasteful number, since it uses less digits than its factorization.

1252422617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 1252422617600 in words is "one trillion, two hundred fifty-two billion, four hundred twenty-two million, six hundred seventeen thousand, six hundred".