121303402004120 has 512 divisors, whose sum is σ = 323769498624000. Its totient is φ = 40047769681920.

The previous prime is 121303402004111. The next prime is 121303402004153. The reversal of 121303402004120 is 21400204303121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180242796104 + ... + 180242796776.

It is an arithmetic number, because the mean of its divisors is an integer number (632362302000).

Almost surely, 2^{121303402004120} is an apocalyptic number.

121303402004120 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 121303402004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884749312000).

121303402004120 is an abundant number, since it is smaller than the sum of its proper divisors (202466096619880).

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

121303402004120 is a wasteful number, since it uses less digits than its factorization.

121303402004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 121303402004120 its reverse (21400204303121), we get a palindrome (142703606307241).

The spelling of 121303402004120 in words is "one hundred twenty-one trillion, three hundred three billion, four hundred two million, four thousand, one hundred twenty".