122022102000 has 160 divisors (see below), whose sum is σ = 393607378944. Its totient is φ = 32522016000.

The previous prime is 122022101987. The next prime is 122022102017. The reversal of 122022102000 is 201220221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14677845 + ... + 14686155.

Almost surely, 2^122022102000 is an apocalyptic number.

122022102000 is a gapful number since it is divisible by the number (10) 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 122022102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196803689472).

122022102000 is an abundant number, since it is smaller than the sum of its proper divisors (271585276944).

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

122022102000 is a wasteful number, since it uses less digits than its factorization.

122022102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122022102000 its reverse (201220221), we get a palindrome (122223322221).

The spelling of 122022102000 in words is "one hundred twenty-two billion, twenty-two million, one hundred two thousand".