11820221952 has 320 divisors, whose sum is σ = 39597465600. Its totient is φ = 3043860480.

The previous prime is 11820221947. The next prime is 11820221981. The reversal of 11820221952 is 25912202811.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16439449 + ... + 16440167.

It is an arithmetic number, because the mean of its divisors is an integer number (123742080).

Almost surely, 2^11820221952 is an apocalyptic number.

11820221952 is a gapful number since it is divisible by the number (12) 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 11820221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798732800).

11820221952 is an abundant number, since it is smaller than the sum of its proper divisors (27777243648).

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

11820221952 is a wasteful number, since it uses less digits than its factorization.

11820221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 11820221952 in words is "eleven billion, eight hundred twenty million, two hundred twenty-one thousand, nine hundred fifty-two".