121303111302352 has 240 divisors, whose sum is σ = 282612543782400. Its totient is φ = 50269536092160.

The previous prime is 121303111302343. The next prime is 121303111302419. The reversal of 121303111302352 is 253203111303121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 121303111302352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794462977 + ... + 794615647.

It is an arithmetic number, because the mean of its divisors is an integer number (1177552265760).

Almost surely, 2^{121303111302352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121303111302352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141306271891200).

121303111302352 is an abundant number, since it is smaller than the sum of its proper divisors (161309432480048).

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

121303111302352 is a wasteful number, since it uses less digits than its factorization.

121303111302352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153034 (or 153021 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 121303111302352 its reverse (253203111303121), we get a palindrome (374506222605473).

The spelling of 121303111302352 in words is "one hundred twenty-one trillion, three hundred three billion, one hundred eleven million, three hundred two thousand, three hundred fifty-two".