120448004256 has 36 divisors (see below), whose sum is σ = 342524012922. Its totient is φ = 40149334656.

The previous prime is 120448004251. The next prime is 120448004263. The reversal of 120448004256 is 652400844021.

120448004256 is a `hidden beast` number, since 120 + 4 + 480 + 0 + 4 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67402544400 + 53045459856 = 259620^2 + 230316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120448004256² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120448004256.

It is not an unprimeable number, because it can be changed into a prime (120448004251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209110831 + ... + 209111406.

Almost surely, 2^120448004256 is an apocalyptic number.

120448004256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120448004256 is an abundant number, since it is smaller than the sum of its proper divisors (222076008666).

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

120448004256 is a wasteful number, since it uses less digits than its factorization.

120448004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418222253 (or 418222242 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 120448004256 its reverse (652400844021), we get a palindrome (772848848277).

The spelling of 120448004256 in words is "one hundred twenty billion, four hundred forty-eight million, four thousand, two hundred fifty-six".