1251252134400 has 120 divisors (see below), whose sum is σ = 4133433349584. Its totient is φ = 333667225600.

The previous prime is 1251252134383. The next prime is 1251252134423. The reversal of 1251252134400 is 44312521521.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16253946 + ... + 16330745.

Almost surely, 2^{1251252134400} is an apocalyptic number.

1251252134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251252134400 is an abundant number, since it is smaller than the sum of its proper divisors (2882181215184).

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

1251252134400 is an equidigital number, since it uses as much as digits as its factorization.

1251252134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32584722 (or 32584701 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1251252134400 its reverse (44312521521), we get a palindrome (1295564655921).

The spelling of 1251252134400 in words is "one trillion, two hundred fifty-one billion, two hundred fifty-two million, one hundred thirty-four thousand, four hundred".