12820350431340 has 144 divisors (see below), whose sum is σ = 40951535788800. Its totient is φ = 3237529233024.

The previous prime is 12820350431279. The next prime is 12820350431363. The reversal of 12820350431340 is 4313405302821.

12820350431340 is a `hidden beast` number, since 1 + 2 + 82 + 0 + 3 + 504 + 31 + 3 + 40 = 666.

It is a super-2 number, since 2×12820350431340² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12820350431295 and 12820350431304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7811431 + ... + 9309089.

It is an arithmetic number, because the mean of its divisors is an integer number (284385665200).

Almost surely, 2^{12820350431340} is an apocalyptic number.

12820350431340 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 12820350431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475767894400).

12820350431340 is an abundant number, since it is smaller than the sum of its proper divisors (28131185357460).

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

12820350431340 is a wasteful number, since it uses less digits than its factorization.

12820350431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500196 (or 1500191 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12820350431340 in words is "twelve trillion, eight hundred twenty billion, three hundred fifty million, four hundred thirty-one thousand, three hundred forty".