12121330364352 has 672 divisors, whose sum is σ = 38923980226560. Its totient is φ = 3575894999040.

The previous prime is 12121330364347. The next prime is 12121330364359. The reversal of 12121330364352 is 25346303312121.

12121330364352 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 3 + 3 + 0 + 3 + 643 + 5 + 2 = 666.

12121330364352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121330364359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9911144413 + ... + 9911145635.

Almost surely, 2^{12121330364352} is an apocalyptic number.

12121330364352 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 12121330364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19461990113280).

12121330364352 is an abundant number, since it is smaller than the sum of its proper divisors (26802649862208).

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

12121330364352 is a wasteful number, since it uses less digits than its factorization.

12121330364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 12121330364352 its reverse (25346303312121), we get a palindrome (37467633676473).

The spelling of 12121330364352 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirty million, three hundred sixty-four thousand, three hundred fifty-two".