1012126601808 has 240 divisors, whose sum is σ = 3332297719296. Its totient is φ = 280796405760.

The previous prime is 1012126601771. The next prime is 1012126601809. The reversal of 1012126601808 is 8081066212101.

1012126601808 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 26 + 601 + 8 + 0 + 8 = 666.

1012126601808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012126601809) 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, 5084473 + ... + 5279783.

Almost surely, 2^{1012126601808} is an apocalyptic number.

1012126601808 is a gapful number since it is divisible by the number (18) 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 1012126601808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666148859648).

1012126601808 is an abundant number, since it is smaller than the sum of its proper divisors (2320171117488).

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

1012126601808 is a wasteful number, since it uses less digits than its factorization.

1012126601808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195482 (or 195473 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1012126601808 in words is "one trillion, twelve billion, one hundred twenty-six million, six hundred one thousand, eight hundred eight".