120256343315460 has 288 divisors, whose sum is σ = 399012125541120. Its totient is φ = 29074553164800.

The previous prime is 120256343315441. The next prime is 120256343315501. The reversal of 120256343315460 is 64513343652021.

120256343315460 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 5 + 6 + 3 + 433 + 154 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1116335481 + ... + 1116443199.

It is an arithmetic number, because the mean of its divisors is an integer number (1385458769240).

Almost surely, 2^{120256343315460} is an apocalyptic number.

120256343315460 is a gapful number since it is divisible by the number (10) 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 120256343315460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199506062770560).

120256343315460 is an abundant number, since it is smaller than the sum of its proper divisors (278755782225660).

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

120256343315460 is a wasteful number, since it uses less digits than its factorization.

120256343315460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109259 (or 109254 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 120256343315460 its reverse (64513343652021), we get a palindrome (184769686967481).

The spelling of 120256343315460 in words is "one hundred twenty trillion, two hundred fifty-six billion, three hundred forty-three million, three hundred fifteen thousand, four hundred sixty".