11532241222400 has 216 divisors, whose sum is σ = 29328145003584. Its totient is φ = 4486297190400.

The previous prime is 11532241222379. The next prime is 11532241222423. The reversal of 11532241222400 is 422214223511.

It is a super-2 number, since 2×11532241222400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632483684 + ... + 632501916.

Almost surely, 2^{11532241222400} is an apocalyptic number.

11532241222400 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 11532241222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664072501792).

11532241222400 is an abundant number, since it is smaller than the sum of its proper divisors (17795903781184).

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

11532241222400 is a wasteful number, since it uses less digits than its factorization.

11532241222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20967 (or 20948 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 11532241222400 its reverse (422214223511), we get a palindrome (11954455445911).

The spelling of 11532241222400 in words is "eleven trillion, five hundred thirty-two billion, two hundred forty-one million, two hundred twenty-two thousand, four hundred".