122121002000 has 80 divisors (see below), whose sum is σ = 295437101232. Its totient is φ = 48823833600.

The previous prime is 122121001913. The next prime is 122121002027. The reversal of 122121002000 is 200121221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110894328064 + 11226673936 = 333008^2 + 105956^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4259714 + ... + 4288286.

Almost surely, 2^122121002000 is an apocalyptic number.

122121002000 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 122121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147718550616).

122121002000 is an abundant number, since it is smaller than the sum of its proper divisors (173316099232).

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

122121002000 is a wasteful number, since it uses less digits than its factorization.

122121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30733 (or 30717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122121002000 its reverse (200121221), we get a palindrome (122321123221).

The spelling of 122121002000 in words is "one hundred twenty-two billion, one hundred twenty-one million, two thousand".