22011211100120 has 256 divisors, whose sum is σ = 55507576320000. Its totient is φ = 7785996595200.

The previous prime is 22011211100107. The next prime is 22011211100143. The reversal of 22011211100120 is 2100111211022.

It is a junction number, because it is equal to n+sod(n) for n = 22011211100095 and 22011211100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15733531181 + ... + 15733532579.

It is an arithmetic number, because the mean of its divisors is an integer number (216826470000).

Almost surely, 2^{22011211100120} is an apocalyptic number.

22011211100120 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 22011211100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27753788160000).

22011211100120 is an abundant number, since it is smaller than the sum of its proper divisors (33496365219880).

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

22011211100120 is a wasteful number, since it uses less digits than its factorization.

22011211100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22011211100120 its reverse (2100111211022), we get a palindrome (24111322311142).

The spelling of 22011211100120 in words is "twenty-two trillion, eleven billion, two hundred eleven million, one hundred thousand, one hundred twenty".