11312254400 has 84 divisors (see below), whose sum is σ = 28038936048. Its totient is φ = 4491786240.

The previous prime is 11312254351. The next prime is 11312254411. The reversal of 11312254400 is 445221311.

It is a super-2 number, since 2×11312254400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 193397 + ... + 245003.

Almost surely, 2^11312254400 is an apocalyptic number.

11312254400 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 11312254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019468024).

11312254400 is an abundant number, since it is smaller than the sum of its proper divisors (16726681648).

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

11312254400 is a wasteful number, since it uses less digits than its factorization.

11312254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51766 (or 51751 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11312254400 its reverse (445221311), we get a palindrome (11757475711).

The spelling of 11312254400 in words is "eleven billion, three hundred twelve million, two hundred fifty-four thousand, four hundred".