126800299649184 has 768 divisors, whose sum is σ = 415929223987200. Its totient is φ = 33020551839744.

The previous prime is 126800299649173. The next prime is 126800299649213. The reversal of 126800299649184 is 481946992008621.

126800299649184 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126800299649184² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10112466787 + ... + 10112479325.

It is an arithmetic number, because the mean of its divisors is an integer number (541574510400).

Almost surely, 2^{126800299649184} is an apocalyptic number.

126800299649184 is a gapful number since it is divisible by the number (14) 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 126800299649184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207964611993600).

126800299649184 is an abundant number, since it is smaller than the sum of its proper divisors (289128924338016).

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

126800299649184 is a wasteful number, since it uses less digits than its factorization.

126800299649184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12897 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 126800299649184 in words is "one hundred twenty-six trillion, eight hundred billion, two hundred ninety-nine million, six hundred forty-nine thousand, one hundred eighty-four".