11821222560 has 432 divisors, whose sum is σ = 44844293088. Its totient is φ = 2609832960.

The previous prime is 11821222499. The next prime is 11821222601. The reversal of 11821222560 is 6522212811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22602459 + ... + 22602981.

It is an arithmetic number, because the mean of its divisors is an integer number (103806234).

Almost surely, 2^11821222560 is an apocalyptic number.

11821222560 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 11821222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22422146544).

11821222560 is an abundant number, since it is smaller than the sum of its proper divisors (33023070528).

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

11821222560 is a wasteful number, since it uses less digits than its factorization.

11821222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 11821222560 in words is "eleven billion, eight hundred twenty-one million, two hundred twenty-two thousand, five hundred sixty".