220113113220000 has 5760 divisors, whose sum is σ = 1090968605895168. Its totient is φ = 40609382400000.

The previous prime is 220113113219999. The next prime is 220113113220041. The reversal of 220113113220000 is 22311311022.

220113113220000 is a `hidden beast` number, since 2 + 20 + 11 + 311 + 322 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×220113113220000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 913332419880 + ... + 913332420120.

Almost surely, 2^{220113113220000} is an apocalyptic number.

220113113220000 is a gapful number since it is divisible by the number (20) 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 220113113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545484302947584).

220113113220000 is an abundant number, since it is smaller than the sum of its proper divisors (870855492675168).

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

220113113220000 is a wasteful number, since it uses less digits than its factorization.

220113113220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220113113220000 its reverse (22311311022), we get a palindrome (220135424531022).

The spelling of 220113113220000 in words is "two hundred twenty trillion, one hundred thirteen billion, one hundred thirteen million, two hundred twenty thousand".