22011211122120 has 384 divisors, whose sum is σ = 80831054304000. Its totient is φ = 5323882291200.

The previous prime is 22011211122101. The next prime is 22011211122149. The reversal of 22011211122120 is 2122111211022.

22011211122120 is a `hidden beast` number, since 220 + 1 + 121 + 112 + 212 + 0 = 666.

It is a super-3 number, since 3×22011211122120³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22011211122093 and 22011211122102.

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, 57176680 + ... + 57560360.

It is an arithmetic number, because the mean of its divisors is an integer number (210497537250).

Almost surely, 2^{22011211122120} is an apocalyptic number.

22011211122120 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 22011211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40415527152000).

22011211122120 is an abundant number, since it is smaller than the sum of its proper divisors (58819843181880).

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

22011211122120 is a wasteful number, since it uses less digits than its factorization.

22011211122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384162 (or 384141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22011211122120 its reverse (2122111211022), we get a palindrome (24133322333142).

The spelling of 22011211122120 in words is "twenty-two trillion, eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".