126512026368 has 432 divisors, whose sum is σ = 441249693696. Its totient is φ = 31399280640.

The previous prime is 126512026367. The next prime is 126512026369. The reversal of 126512026368 is 863620215621.

126512026368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (126512026367) and next prime (126512026369).

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 (126512026367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15441153 + ... + 15449343.

It is an arithmetic number, because the mean of its divisors is an integer number (1021411328).

Almost surely, 2^126512026368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126512026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220624846848).

126512026368 is an abundant number, since it is smaller than the sum of its proper divisors (314737667328).

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

126512026368 is a wasteful number, since it uses less digits than its factorization.

126512026368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 126512026368 in words is "one hundred twenty-six billion, five hundred twelve million, twenty-six thousand, three hundred sixty-eight".