122021012010112 has 256 divisors, whose sum is σ = 272869386854400. Its totient is φ = 54074358632448.

The previous prime is 122021012010103. The next prime is 122021012010119. The reversal of 122021012010112 is 211010210120221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122021012010119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4198485693 + ... + 4198514755.

It is an arithmetic number, because the mean of its divisors is an integer number (1065896042400).

Almost surely, 2^{122021012010112} 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 122021012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136434693427200).

122021012010112 is an abundant number, since it is smaller than the sum of its proper divisors (150848374844288).

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

122021012010112 is a wasteful number, since it uses less digits than its factorization.

122021012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30763 (or 30751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122021012010112 its reverse (211010210120221), we get a palindrome (333031222130333).

The spelling of 122021012010112 in words is "one hundred twenty-two trillion, twenty-one billion, twelve million, ten thousand, one hundred twelve".