122021120000 has 240 divisors, whose sum is σ = 328377869820. Its totient is φ = 45047808000.

The previous prime is 122021119973. The next prime is 122021120029. The reversal of 122021120000 is 21120221.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 66506220544 + 55514899456 = 257888^2 + 235616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16636334 + ... + 16643666.

Almost surely, 2^122021120000 is an apocalyptic number.

122021120000 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 122021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164188934910).

122021120000 is an abundant number, since it is smaller than the sum of its proper divisors (206356749820).

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

122021120000 is an frugal number, since it uses more digits than its factorization.

122021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7353 counting only the distinct ones).

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

Adding to 122021120000 its reverse (21120221), we get a palindrome (122042240221).

The spelling of 122021120000 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty thousand".