120896000226 has 128 divisors (see below), whose sum is σ = 280764230400. Its totient is φ = 38513180160.

The previous prime is 120896000219. The next prime is 120896000233. The reversal of 120896000226 is 622000698021.

It is a happy number.

120896000226 is a `hidden beast` number, since 1 + 20 + 8 + 9 + 600 + 0 + 2 + 26 = 666.

120896000226 is a nontrivial binomial coefficient, being equal to C(491724, 2).

It is an interprime number because it is at equal distance from previous prime (120896000219) and next prime (120896000233).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76954021 + ... + 76955591.

It is an arithmetic number, because the mean of its divisors is an integer number (2193470550).

Almost surely, 2^120896000226 is an apocalyptic number.

120896000226 is the 491723-rd triangular number and also the 245862-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120896000226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140382115200).

120896000226 is an abundant number, since it is smaller than the sum of its proper divisors (159868230174).

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

120896000226 is a wasteful number, since it uses less digits than its factorization.

120896000226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 120896000226 its reverse (622000698021), we get a palindrome (742896698247).

The spelling of 120896000226 in words is "one hundred twenty billion, eight hundred ninety-six million, two hundred twenty-six", and thus it is an aban number.