122002020072 has 128 divisors (see below), whose sum is σ = 363372480000. Its totient is φ = 37790558208.

The previous prime is 122002020047. The next prime is 122002020073. The reversal of 122002020072 is 270020200221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122002020073) 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, 79804 + ... + 500372.

It is an arithmetic number, because the mean of its divisors is an integer number (2838847500).

Almost surely, 2^122002020072 is an apocalyptic number.

122002020072 is a gapful number since it is divisible by the number (12) 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 122002020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181686240000).

122002020072 is an abundant number, since it is smaller than the sum of its proper divisors (241370459928).

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

122002020072 is a wasteful number, since it uses less digits than its factorization.

122002020072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420680 (or 420670 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 122002020072 its reverse (270020200221), we get a palindrome (392022220293).

The spelling of 122002020072 in words is "one hundred twenty-two billion, two million, twenty thousand, seventy-two".