120021122000 has 240 divisors, whose sum is σ = 332021634672. Its totient is φ = 41706086400.

The previous prime is 120021121939. The next prime is 120021122027. The reversal of 120021122000 is 221120021.

It is a happy number.

120021122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 101080756624 + 18940365376 = 317932^2 + 137624^2 .

It is a super-2 number, since 2×120021122000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7506014 + ... + 7521986.

Almost surely, 2^120021122000 is an apocalyptic number.

120021122000 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 120021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166010817336).

120021122000 is an abundant number, since it is smaller than the sum of its proper divisors (212000512672).

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

120021122000 is a wasteful number, since it uses less digits than its factorization.

120021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16043 (or 16010 counting only the distinct ones).

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

Adding to 120021122000 its reverse (221120021), we get a palindrome (120242242021).

The spelling of 120021122000 in words is "one hundred twenty billion, twenty-one million, one hundred twenty-two thousand".