12834038651700 has 576 divisors, whose sum is σ = 45441919531008. Its totient is φ = 2729897164800.

The previous prime is 12834038651653. The next prime is 12834038651701. The reversal of 12834038651700 is 715683043821.

It is a super-2 number, since 2×12834038651700² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12834038651700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12834038651701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1323501252 + ... + 1323510948.

It is an arithmetic number, because the mean of its divisors is an integer number (78892221408).

Almost surely, 2^{12834038651700} is an apocalyptic number.

12834038651700 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 12834038651700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22720959765504).

12834038651700 is an abundant number, since it is smaller than the sum of its proper divisors (32607880879308).

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

12834038651700 is a wasteful number, since it uses less digits than its factorization.

12834038651700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10145 counting only the distinct ones).

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

The spelling of 12834038651700 in words is "twelve trillion, eight hundred thirty-four billion, thirty-eight million, six hundred fifty-one thousand, seven hundred".