120053606400 has 1296 divisors, whose sum is σ = 539940246300. Its totient is φ = 25268060160.

The previous prime is 120053606389. The next prime is 120053606401. The reversal of 120053606400 is 4606350021.

120053606400 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 53 + 606 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 48879903744 + 71173702656 = 221088^2 + 266784^2 .

It is a super-2 number, since 2×120053606400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120053606401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293529396 + ... + 293529804.

Almost surely, 2^120053606400 is an apocalyptic number.

120053606400 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 120053606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269970123150).

120053606400 is an abundant number, since it is smaller than the sum of its proper divisors (419886639900).

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

120053606400 is a wasteful number, since it uses less digits than its factorization.

120053606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 120053606400 its reverse (4606350021), we get a palindrome (124659956421).

The spelling of 120053606400 in words is "one hundred twenty billion, fifty-three million, six hundred six thousand, four hundred".