122220021000112 has 80 divisors (see below), whose sum is σ = 273439062793792. Its totient is φ = 51836403548160.

The previous prime is 122220021000083. The next prime is 122220021000113. The reversal of 122220021000112 is 211000120022221.

It is a happy number.

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 (122220021000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158806312 + ... + 159574072.

Almost surely, 2^{122220021000112} 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 122220021000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136719531396896).

122220021000112 is an abundant number, since it is smaller than the sum of its proper divisors (151219041793680).

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

122220021000112 is a wasteful number, since it uses less digits than its factorization.

122220021000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782526 (or 782520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122220021000112 its reverse (211000120022221), we get a palindrome (333220141022333).

The spelling of 122220021000112 in words is "one hundred twenty-two trillion, two hundred twenty billion, twenty-one million, one hundred twelve", and thus it is an aban number.