121221021122000 has 40 divisors (see below), whose sum is σ = 293112429077832. Its totient is φ = 48488408448000.

The previous prime is 121221021121979. The next prime is 121221021122011. The reversal of 121221021122000 is 221120122121.

It can be written as a sum of positive squares in 4 ways, for example, as 22718492697664 + 98502528424336 = 4766392^2 + 9924844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 121221021122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30305253281 + ... + 30305257280.

Almost surely, 2^{121221021122000} is an apocalyptic number.

121221021122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221021122000 is an abundant number, since it is smaller than the sum of its proper divisors (171891407955832).

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

121221021122000 is an equidigital number, since it uses as much as digits as its factorization.

121221021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60610510584 (or 60610510568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121221021122000 its reverse (221120122121), we get a palindrome (121442141244121).

The spelling of 121221021122000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand".