22011212211120 has 480 divisors, whose sum is σ = 81666522722304. Its totient is φ = 5312492106240.

The previous prime is 22011212211083. The next prime is 22011212211127. The reversal of 22011212211120 is 2111221211022.

22011212211120 is a `hidden beast` number, since 2 + 201 + 121 + 221 + 1 + 120 = 666.

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 = 22011212211093 and 22011212211102.

It is not an unprimeable number, because it can be changed into a prime (22011212211127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217488049 + ... + 217589231.

Almost surely, 2^{22011212211120} is an apocalyptic number.

22011212211120 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 22011212211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40833261361152).

22011212211120 is an abundant number, since it is smaller than the sum of its proper divisors (59655310511184).

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

22011212211120 is a wasteful number, since it uses less digits than its factorization.

22011212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101462 (or 101431 counting only the distinct ones).

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

Adding to 22011212211120 its reverse (2111221211022), we get a palindrome (24122433422142).

The spelling of 22011212211120 in words is "twenty-two trillion, eleven billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".