22121202110112 has 288 divisors, whose sum is σ = 75062425939200. Its totient is φ = 6319640549376.

The previous prime is 22121202110083. The next prime is 22121202110141. The reversal of 22121202110112 is 21101120212122.

22121202110112 is a `hidden beast` number, since 221 + 2 + 120 + 211 + 0 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (22121202110083) and next prime (22121202110141).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 470710488 + ... + 470757480.

It is an arithmetic number, because the mean of its divisors is an integer number (260633423400).

Almost surely, 2^{22121202110112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121202110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37531212969600).

22121202110112 is an abundant number, since it is smaller than the sum of its proper divisors (52941223829088).

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

22121202110112 is a wasteful number, since it uses less digits than its factorization.

22121202110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58145 (or 58124 counting only the distinct ones).

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

Adding to 22121202110112 its reverse (21101120212122), we get a palindrome (43222322322234).

The spelling of 22121202110112 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred two million, one hundred ten thousand, one hundred twelve".