22011322211120 has 80 divisors (see below), whose sum is σ = 55829602203552. Its totient is φ = 8003990292480.

The previous prime is 22011322211107. The next prime is 22011322211237. The reversal of 22011322211120 is 2111222311022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22011322211092 and 22011322211101.

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 15 ways as a sum of consecutive naturals, for example, 69108554 + ... + 69426326.

Almost surely, 2^{22011322211120} is an apocalyptic number.

22011322211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011322211120 is an abundant number, since it is smaller than the sum of its proper divisors (33818279992432).

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

22011322211120 is a wasteful number, since it uses less digits than its factorization.

22011322211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396510 (or 396504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22011322211120 its reverse (2111222311022), we get a palindrome (24122544522142).

The spelling of 22011322211120 in words is "twenty-two trillion, eleven billion, three hundred twenty-two million, two hundred eleven thousand, one hundred twenty".