11321324232400 has 240 divisors, whose sum is σ = 33492180085504. Its totient is φ = 3581311242240.

The previous prime is 11321324232397. The next prime is 11321324232437. The reversal of 11321324232400 is 423242312311.

11321324232400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11321324232400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77714029 + ... + 77859571.

Almost surely, 2^{11321324232400} is an apocalyptic number.

11321324232400 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 11321324232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746090042752).

11321324232400 is an abundant number, since it is smaller than the sum of its proper divisors (22170855853104).

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

11321324232400 is a wasteful number, since it uses less digits than its factorization.

11321324232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147718 (or 147707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11321324232400 its reverse (423242312311), we get a palindrome (11744566544711).

The spelling of 11321324232400 in words is "eleven trillion, three hundred twenty-one billion, three hundred twenty-four million, two hundred thirty-two thousand, four hundred".