122121120121000 has 1024 divisors, whose sum is σ = 389708548669440. Its totient is φ = 34588270080000.

The previous prime is 122121120120959. The next prime is 122121120121081. The reversal of 122121120121000 is 121021121221.

It is a super-2 number, since 2×122121120121000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16653633334 + ... + 16653640666.

It is an arithmetic number, because the mean of its divisors is an integer number (380574754560).

Almost surely, 2^{122121120121000} is an apocalyptic number.

122121120121000 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 122121120121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194854274334720).

122121120121000 is an abundant number, since it is smaller than the sum of its proper divisors (267587428548440).

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

122121120121000 is a wasteful number, since it uses less digits than its factorization.

122121120121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121120121000 its reverse (121021121221), we get a palindrome (122242141242221).

The spelling of 122121120121000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand".