120225006333126 has 96 divisors (see below), whose sum is σ = 283420539257856. Its totient is φ = 38146485060000.

The previous prime is 120225006333119. The next prime is 120225006333197. The reversal of 120225006333126 is 621333600522021.

120225006333126 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 5 + 0 + 0 + 633 + 3 + 12 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64489900 + ... + 66327951.

It is an arithmetic number, because the mean of its divisors is an integer number (2952297283936).

Almost surely, 2^{120225006333126} is an apocalyptic number.

120225006333126 is an abundant number, since it is smaller than the sum of its proper divisors (163195532924730).

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

120225006333126 is a wasteful number, since it uses less digits than its factorization.

120225006333126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130817960 (or 130817948 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 120225006333126 its reverse (621333600522021), we get a palindrome (741558606855147).

The spelling of 120225006333126 in words is "one hundred twenty trillion, two hundred twenty-five billion, six million, three hundred thirty-three thousand, one hundred twenty-six".