22220311113000 has 4608 divisors, whose sum is σ = 107595277171200. Its totient is φ = 4061933568000.

The previous prime is 22220311112999. The next prime is 22220311113017. The reversal of 22220311113000 is 31111302222.

22220311113000 is a `hidden beast` number, since 2 + 2 + 220 + 31 + 111 + 300 + 0 = 666.

It is a super-2 number, since 2×22220311113000² (a number of 27 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 (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 207666458947 + ... + 207666459053.

It is an arithmetic number, because the mean of its divisors is an integer number (23349669525).

Almost surely, 2^{22220311113000} is an apocalyptic number.

22220311113000 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 22220311113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53797638585600).

22220311113000 is an abundant number, since it is smaller than the sum of its proper divisors (85374966058200).

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

22220311113000 is a wasteful number, since it uses less digits than its factorization.

22220311113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

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

Adding to 22220311113000 its reverse (31111302222), we get a palindrome (22251422415222).

It can be divided in two parts, 22 and 220311113000, that added together give a palindrome (220311113022).

The spelling of 22220311113000 in words is "twenty-two trillion, two hundred twenty billion, three hundred eleven million, one hundred thirteen thousand".