12355343238672 has 2160 divisors, whose sum is σ = 47588134164480. Its totient is φ = 3029842506240.

The previous prime is 12355343238661. The next prime is 12355343238727. The reversal of 12355343238672 is 27683234355321.

12355343238672 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 343 + 238 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 262879643353 + ... + 262879643399.

Almost surely, 2^{12355343238672} is an apocalyptic number.

12355343238672 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 12355343238672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23794067082240).

12355343238672 is an abundant number, since it is smaller than the sum of its proper divisors (35232790925808).

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

12355343238672 is a wasteful number, since it uses less digits than its factorization.

12355343238672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 132 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

It can be divided in two parts, 123553 and 43238672, that added together give a square (43362225 = 6585²).

The spelling of 12355343238672 in words is "twelve trillion, three hundred fifty-five billion, three hundred forty-three million, two hundred thirty-eight thousand, six hundred seventy-two".