12833734815120 has 320 divisors, whose sum is σ = 43250826769920. Its totient is φ = 3135278284800.

The previous prime is 12833734815053. The next prime is 12833734815131. The reversal of 12833734815120 is 2151843733821.

It is a super-2 number, since 2×12833734815120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12833734815120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73348540 + ... + 73523300.

It is an arithmetic number, because the mean of its divisors is an integer number (135158833656).

Almost surely, 2^{12833734815120} is an apocalyptic number.

12833734815120 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 12833734815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625413384960).

12833734815120 is an abundant number, since it is smaller than the sum of its proper divisors (30417091954800).

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

12833734815120 is a wasteful number, since it uses less digits than its factorization.

12833734815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175274 (or 175268 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 12833734815120 in words is "twelve trillion, eight hundred thirty-three billion, seven hundred thirty-four million, eight hundred fifteen thousand, one hundred twenty".