120404004014241 has 40 divisors (see below), whose sum is σ = 182835487381800. Its totient is φ = 78943017000960.

The previous prime is 120404004014237. The next prime is 120404004014249. The reversal of 120404004014241 is 142410400404021.

It is a happy number.

120404004014241 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 400 + 4 + 0 + 14 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39231382142016 + 81172621872225 = 6263496^2 + 9009585^2 .

It is not a de Polignac number, because 120404004014241 - 2² = 120404004014237 is a prime.

It is a super-2 number, since 2×120404004014241² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120404004014249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35891745 + ... + 39102753.

It is an arithmetic number, because the mean of its divisors is an integer number (4570887184545).

Almost surely, 2^{120404004014241} is an apocalyptic number.

It is an amenable number.

120404004014241 is a deficient number, since it is larger than the sum of its proper divisors (62431483367559).

120404004014241 is an equidigital number, since it uses as much as digits as its factorization.

120404004014241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218671 (or 3218662 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 120404004014241 its reverse (142410400404021), we get a palindrome (262814404418262).

The spelling of 120404004014241 in words is "one hundred twenty trillion, four hundred four billion, four million, fourteen thousand, two hundred forty-one".