126343604032200 has 72 divisors (see below), whose sum is σ = 424303936880850. Its totient is φ = 33691627741440.

The previous prime is 126343604032187. The next prime is 126343604032229. The reversal of 126343604032200 is 2230406343621.

126343604032200 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 43 + 6 + 0 + 403 + 2 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 55472495456196 + 70871108576004 = 7447986^2 + 8418498^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35095443765 + ... + 35095447364.

Almost surely, 2^{126343604032200} is an apocalyptic number.

126343604032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126343604032200 is an abundant number, since it is smaller than the sum of its proper divisors (297960332848650).

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

126343604032200 is a wasteful number, since it uses less digits than its factorization.

126343604032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70190891151 (or 70190891139 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 126343604032200 in words is "one hundred twenty-six trillion, three hundred forty-three billion, six hundred four million, thirty-two thousand, two hundred".