1214252400 has 120 divisors (see below), whose sum is σ = 3912807600. Its totient is φ = 321873920.

The previous prime is 1214252381. The next prime is 1214252411. The reversal of 1214252400 is 42524121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204676 + ... + 210524.

It is an arithmetic number, because the mean of its divisors is an integer number (32606730).

Almost surely, 2^1214252400 is an apocalyptic number.

1214252400 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 1214252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956403800).

1214252400 is an abundant number, since it is smaller than the sum of its proper divisors (2698555200).

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

1214252400 is a wasteful number, since it uses less digits than its factorization.

1214252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1214252400 is about 34846.1246051839. The cubic root of 1214252400 is about 1066.8490877242.

Adding to 1214252400 its reverse (42524121), we get a palindrome (1256776521).

The spelling of 1214252400 in words is "one billion, two hundred fourteen million, two hundred fifty-two thousand, four hundred".