22121021012112 has 180 divisors, whose sum is σ = 68240573868012. Its totient is φ = 6684348211200.

The previous prime is 22121021012071. The next prime is 22121021012131. The reversal of 22121021012112 is 21121012012122.

22121021012112 is a `hidden beast` number, since 221 + 21 + 0 + 210 + 1 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13092702771456 + 9028318240656 = 3618384^2 + 3004716^2 .

It is a super-2 number, since 2×22121021012112² (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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4352412 + ... + 7948932.

Almost surely, 2^{22121021012112} is an apocalyptic number.

22121021012112 is a gapful number since it is divisible by the number (22) 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 22121021012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34120286934006).

22121021012112 is an abundant number, since it is smaller than the sum of its proper divisors (46119552855900).

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

22121021012112 is a wasteful number, since it uses less digits than its factorization.

22121021012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596910 (or 3596890 counting only the distinct ones).

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

Adding to 22121021012112 its reverse (21121012012122), we get a palindrome (43242033024234).

The spelling of 22121021012112 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-one million, twelve thousand, one hundred twelve".