12734681820 has 96 divisors (see below), whose sum is σ = 40823118336. Its totient is φ = 2905632000.

The previous prime is 12734681807. The next prime is 12734681821. The reversal of 12734681820 is 2818643721.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12734681821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213270 + ... + 266370.

It is an arithmetic number, because the mean of its divisors is an integer number (425240816).

Almost surely, 2^12734681820 is an apocalyptic number.

12734681820 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 12734681820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20411559168).

12734681820 is an abundant number, since it is smaller than the sum of its proper divisors (28088436516).

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

12734681820 is a wasteful number, since it uses less digits than its factorization.

12734681820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53691 (or 53689 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 12734681820 in words is "twelve billion, seven hundred thirty-four million, six hundred eighty-one thousand, eight hundred twenty".