12401133120 has 336 divisors, whose sum is σ = 45329459760. Its totient is φ = 3105865728.

The previous prime is 12401133097. The next prime is 12401133131. The reversal of 12401133120 is 2133110421.

12401133120 is a `hidden beast` number, since 1 + 240 + 113 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1496761344 + 10904371776 = 38688^2 + 104424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12401133093 and 12401133102.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3088234 + ... + 3092246.

Almost surely, 2^12401133120 is an apocalyptic number.

12401133120 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 12401133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664729880).

12401133120 is an abundant number, since it is smaller than the sum of its proper divisors (32928326640).

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

12401133120 is a wasteful number, since it uses less digits than its factorization.

12401133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12401133120 its reverse (2133110421), we get a palindrome (14534243541).

The spelling of 12401133120 in words is "twelve billion, four hundred one million, one hundred thirty-three thousand, one hundred twenty".