11422132024400 has 120 divisors (see below), whose sum is σ = 27487857982200. Its totient is φ = 4561167974400.

The previous prime is 11422132024397. The next prime is 11422132024403. The reversal of 11422132024400 is 442023122411.

It is an interprime number because it is at equal distance from previous prime (11422132024397) and next prime (11422132024403).

It can be written as a sum of positive squares in 12 ways, for example, as 3885613670416 + 7536518353984 = 1971196^2 + 2745272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11422132024400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422132024403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064598236 + ... + 1064608964.

It is an arithmetic number, because the mean of its divisors is an integer number (229065483185).

Almost surely, 2^{11422132024400} is an apocalyptic number.

11422132024400 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 11422132024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13743928991100).

11422132024400 is an abundant number, since it is smaller than the sum of its proper divisors (16065725957800).

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

11422132024400 is a wasteful number, since it uses less digits than its factorization.

11422132024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14977 (or 14966 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11422132024400 its reverse (442023122411), we get a palindrome (11864155146811).

It can be divided in two parts, 1142213 and 2024400, that added together give a palindrome (3166613).

The spelling of 11422132024400 in words is "eleven trillion, four hundred twenty-two billion, one hundred thirty-two million, twenty-four thousand, four hundred".