253412721200 has 120 divisors (see below), whose sum is σ = 638098587648. Its totient is φ = 96529987840.

The previous prime is 253412721193. The next prime is 253412721253. The reversal of 253412721200 is 2127214352.

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 23 ways as a sum of consecutive naturals, for example, 2027729 + ... + 2149071.

Almost surely, 2^253412721200 is an apocalyptic number.

253412721200 is a gapful number since it is divisible by the number (20) 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 253412721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319049293824).

253412721200 is an abundant number, since it is smaller than the sum of its proper divisors (384685866448).

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

253412721200 is a wasteful number, since it uses less digits than its factorization.

253412721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121611 (or 121600 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 253412721200 its reverse (2127214352), we get a palindrome (255539935552).

The spelling of 253412721200 in words is "two hundred fifty-three billion, four hundred twelve million, seven hundred twenty-one thousand, two hundred".