126601341312 has 128 divisors (see below), whose sum is σ = 351350472960. Its totient is φ = 40314509312.

The previous prime is 126601341287. The next prime is 126601341401. The reversal of 126601341312 is 213143106621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 126601341312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7295398 + ... + 7312730.

It is an arithmetic number, because the mean of its divisors is an integer number (2744925570).

Almost surely, 2^126601341312 is an apocalyptic number.

126601341312 is a gapful number since it is divisible by the number (12) 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 126601341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175675236480).

126601341312 is an abundant number, since it is smaller than the sum of its proper divisors (224749131648).

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

126601341312 is a wasteful number, since it uses less digits than its factorization.

126601341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18200 (or 18188 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 126601341312 its reverse (213143106621), we get a palindrome (339744447933).

The spelling of 126601341312 in words is "one hundred twenty-six billion, six hundred one million, three hundred forty-one thousand, three hundred twelve".