121302360252 has 144 divisors (see below), whose sum is σ = 328776084000. Its totient is φ = 37574676480.

The previous prime is 121302360251. The next prime is 121302360281. The reversal of 121302360252 is 252063203121.

It is a happy number.

121302360252 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 2 + 3 + 602 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121302360251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57789499 + ... + 57791597.

It is an arithmetic number, because the mean of its divisors is an integer number (2283167250).

Almost surely, 2^121302360252 is an apocalyptic number.

121302360252 is a gapful number since it is divisible by the number (12) 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 121302360252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164388042000).

121302360252 is an abundant number, since it is smaller than the sum of its proper divisors (207473723748).

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

121302360252 is a wasteful number, since it uses less digits than its factorization.

121302360252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 121302360252 its reverse (252063203121), we get a palindrome (373365563373).

The spelling of 121302360252 in words is "one hundred twenty-one billion, three hundred two million, three hundred sixty thousand, two hundred fifty-two".