12333125410452 has 432 divisors, whose sum is σ = 42769889023680. Its totient is φ = 2952783590400.

The previous prime is 12333125410429. The next prime is 12333125410493. The reversal of 12333125410452 is 25401452133321.

12333125410452 is a `hidden beast` number, since 1 + 2 + 33 + 31 + 2 + 541 + 0 + 4 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13188952 + ... + 14093072.

It is an arithmetic number, because the mean of its divisors is an integer number (99004372740).

Almost surely, 2^{12333125410452} is an apocalyptic number.

12333125410452 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 12333125410452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384944511840).

12333125410452 is an abundant number, since it is smaller than the sum of its proper divisors (30436763613228).

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

12333125410452 is a wasteful number, since it uses less digits than its factorization.

12333125410452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904212 (or 904200 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12333125410452 its reverse (25401452133321), we get a palindrome (37734577543773).

The spelling of 12333125410452 in words is "twelve trillion, three hundred thirty-three billion, one hundred twenty-five million, four hundred ten thousand, four hundred fifty-two".