12335352120 has 288 divisors, whose sum is σ = 50223438720. Its totient is φ = 2602575360.

The previous prime is 12335352109. The next prime is 12335352131. The reversal of 12335352120 is 2125353321.

12335352120 = 148² + 149² + ... + 3332².

It is a happy number.

12335352120 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 535 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (12335352109) and next prime (12335352131).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 202425 + ... + 256215.

It is an arithmetic number, because the mean of its divisors is an integer number (174386940).

Almost surely, 2^12335352120 is an apocalyptic number.

12335352120 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 12335352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25111719360).

12335352120 is an abundant number, since it is smaller than the sum of its proper divisors (37888086600).

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

12335352120 is a wasteful number, since it uses less digits than its factorization.

12335352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53835 (or 53821 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 12335352120 in words is "twelve billion, three hundred thirty-five million, three hundred fifty-two thousand, one hundred twenty".