121003311222120 has 512 divisors, whose sum is σ = 396059803200000. Its totient is φ = 29469958078464.

The previous prime is 121003311222107. The next prime is 121003311222163. The reversal of 121003311222120 is 21222113300121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5140970992 + ... + 5140994528.

It is an arithmetic number, because the mean of its divisors is an integer number (773554303125).

Almost surely, 2^{121003311222120} is an apocalyptic number.

121003311222120 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 121003311222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198029901600000).

121003311222120 is an abundant number, since it is smaller than the sum of its proper divisors (275056491977880).

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

121003311222120 is a wasteful number, since it uses less digits than its factorization.

121003311222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24165 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121003311222120 its reverse (21222113300121), we get a palindrome (142225424522241).

The spelling of 121003311222120 in words is "one hundred twenty-one trillion, three billion, three hundred eleven million, two hundred twenty-two thousand, one hundred twenty".