122002122112 has 96 divisors (see below), whose sum is σ = 272262276000. Its totient is φ = 54366713856.

The previous prime is 122002122071. The next prime is 122002122113. The reversal of 122002122112 is 211221200221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530089 + ... + 724567.

It is an arithmetic number, because the mean of its divisors is an integer number (2836065375).

Almost surely, 2^122002122112 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 122002122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136131138000).

122002122112 is an abundant number, since it is smaller than the sum of its proper divisors (150260153888).

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

122002122112 is a wasteful number, since it uses less digits than its factorization.

122002122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194548 (or 194523 counting only the distinct ones).

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

Adding to 122002122112 its reverse (211221200221), we get a palindrome (333223322333).

It can be divided in two parts, 12200 and 2122112, that added together give a palindrome (2134312).

The spelling of 122002122112 in words is "one hundred twenty-two billion, two million, one hundred twenty-two thousand, one hundred twelve".