1252712400 has 120 divisors (see below), whose sum is σ = 4073010144. Its totient is φ = 329049600.

The previous prime is 1252712327. The next prime is 1252712413. The reversal of 1252712400 is 42172521.

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

It is a super-2 number, since 2×1252712400² = 3138576714227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72610 + ... + 88190.

Almost surely, 2^1252712400 is an apocalyptic number.

1252712400 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 1252712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036505072).

1252712400 is an abundant number, since it is smaller than the sum of its proper divisors (2820297744).

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

1252712400 is a wasteful number, since it uses less digits than its factorization.

1252712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1252712400 is about 35393.6774014795. The cubic root of 1252712400 is about 1077.9959406109.

Adding to 1252712400 its reverse (42172521), we get a palindrome (1294884921).

The spelling of 1252712400 in words is "one billion, two hundred fifty-two million, seven hundred twelve thousand, four hundred".