120002047779456 has 256 divisors, whose sum is σ = 355077491760000. Its totient is φ = 39898608721920.

The previous prime is 120002047779433. The next prime is 120002047779491. The reversal of 120002047779456 is 654977740200021.

120002047779456 is a `hidden beast` number, since 12 + 0 + 0 + 0 + 20 + 477 + 7 + 94 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2538681390 + ... + 2538728658.

Almost surely, 2^{120002047779456} is an apocalyptic number.

120002047779456 is a gapful number since it is divisible by the number (16) 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 120002047779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177538745880000).

120002047779456 is an abundant number, since it is smaller than the sum of its proper divisors (235075443980544).

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

120002047779456 is a wasteful number, since it uses less digits than its factorization.

120002047779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49152 (or 49134 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

Adding to 120002047779456 its reverse (654977740200021), we get a palindrome (774979787979477).

The spelling of 120002047779456 in words is "one hundred twenty trillion, two billion, forty-seven million, seven hundred seventy-nine thousand, four hundred fifty-six".