1252601238000 has 320 divisors, whose sum is σ = 4618886658048. Its totient is φ = 286086297600.

The previous prime is 1252601237999. The next prime is 1252601238013. The reversal of 1252601238000 is 8321062521.

It is a super-2 number, since 2×1252601238000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57403092 + ... + 57424908.

Almost surely, 2^{1252601238000} is an apocalyptic number.

1252601238000 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 1252601238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309443329024).

1252601238000 is an abundant number, since it is smaller than the sum of its proper divisors (3366285420048).

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

1252601238000 is a wasteful number, since it uses less digits than its factorization.

1252601238000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23217 (or 23201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1252601238000 in words is "one trillion, two hundred fifty-two billion, six hundred one million, two hundred thirty-eight thousand".