11821328121600 has 324 divisors, whose sum is σ = 42637956475296. Its totient is φ = 3124455505920.

The previous prime is 11821328121563. The next prime is 11821328121613. The reversal of 11821328121600 is 612182312811.

It is a happy number.

11821328121600 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 1 + 3 + 28 + 1 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5600697 + ... + 7416903.

Almost surely, 2^{11821328121600} is an apocalyptic number.

11821328121600 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 11821328121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318978237648).

11821328121600 is an abundant number, since it is smaller than the sum of its proper divisors (30816628353696).

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

11821328121600 is a wasteful number, since it uses less digits than its factorization.

11821328121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816352 (or 1816330 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11821328121600 in words is "eleven trillion, eight hundred twenty-one billion, three hundred twenty-eight million, one hundred twenty-one thousand, six hundred".