1252111242400 has 72 divisors (see below), whose sum is σ = 3098589544764. Its totient is φ = 493983590400.

The previous prime is 1252111242379. The next prime is 1252111242401. The reversal of 1252111242400 is 42421112521.

It can be written as a sum of positive squares in 6 ways, for example, as 171750567184 + 1080360675216 = 414428^2 + 1039404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1252111242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10661731 + ... + 10778530.

Almost surely, 2^{1252111242400} is an apocalyptic number.

1252111242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252111242400 is an abundant number, since it is smaller than the sum of its proper divisors (1846478302364).

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

1252111242400 is a wasteful number, since it uses less digits than its factorization.

1252111242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21440354 (or 21440341 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 1252111242400 its reverse (42421112521), we get a palindrome (1294532354921).

The spelling of 1252111242400 in words is "one trillion, two hundred fifty-two billion, one hundred eleven million, two hundred forty-two thousand, four hundred".