1252150099200 has 4320 divisors, whose sum is σ = 6594884567040. Its totient is φ = 225740390400.

The previous prime is 1252150099147. The next prime is 1252150099237. The reversal of 1252150099200 is 29900512521.

It is a happy number.

1252150099200 is a `hidden beast` number, since 1 + 25 + 21 + 500 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9859449537 + ... + 9859449663.

Almost surely, 2^{1252150099200} is an apocalyptic number.

1252150099200 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 1252150099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297442283520).

1252150099200 is an abundant number, since it is smaller than the sum of its proper divisors (5342734467840).

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

1252150099200 is a wasteful number, since it uses less digits than its factorization.

1252150099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 1252150099200 in words is "one trillion, two hundred fifty-two billion, one hundred fifty million, ninety-nine thousand, two hundred".