11220333400320 has 864 divisors, whose sum is σ = 40586565583872. Its totient is φ = 2619832320000.

The previous prime is 11220333400319. The next prime is 11220333400337. The reversal of 11220333400320 is 2300433302211.

It is a super-2 number, since 2×11220333400320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10675863795 + ... + 10675864845.

It is an arithmetic number, because the mean of its divisors is an integer number (46975191648).

Almost surely, 2^{11220333400320} is an apocalyptic number.

11220333400320 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 11220333400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293282791936).

11220333400320 is an abundant number, since it is smaller than the sum of its proper divisors (29366232183552).

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

11220333400320 is a wasteful number, since it uses less digits than its factorization.

11220333400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11220333400320 its reverse (2300433302211), we get a palindrome (13520766702531).

The spelling of 11220333400320 in words is "eleven trillion, two hundred twenty billion, three hundred thirty-three million, four hundred thousand, three hundred twenty".