11820412296 has 576 divisors, whose sum is σ = 43695288000. Its totient is φ = 2956746240.

The previous prime is 11820412283. The next prime is 11820412319. The reversal of 11820412296 is 69221402811.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11820412296.

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 143 ways as a sum of consecutive naturals, for example, 30386470 + ... + 30386858.

It is an arithmetic number, because the mean of its divisors is an integer number (75859875).

Almost surely, 2^11820412296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11820412296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847644000).

11820412296 is an abundant number, since it is smaller than the sum of its proper divisors (31874875704).

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

11820412296 is a wasteful number, since it uses less digits than its factorization.

11820412296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11820412296 in words is "eleven billion, eight hundred twenty million, four hundred twelve thousand, two hundred ninety-six".