120255040351446 has 384 divisors, whose sum is σ = 331388661058560. Its totient is φ = 28094985907200.

The previous prime is 120255040351441. The next prime is 120255040351471. The reversal of 120255040351446 is 644153040552021.

It is a super-2 number, since 2×120255040351446² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 120255040351398 and 120255040351407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120255040351441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3038181376 + ... + 3038220956.

It is an arithmetic number, because the mean of its divisors is an integer number (862991304840).

Almost surely, 2^{120255040351446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120255040351446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165694330529280).

120255040351446 is an abundant number, since it is smaller than the sum of its proper divisors (211133620707114).

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

120255040351446 is a wasteful number, since it uses less digits than its factorization.

120255040351446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39940 (or 39893 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 120255040351446 in words is "one hundred twenty trillion, two hundred fifty-five billion, forty million, three hundred fifty-one thousand, four hundred forty-six".