412002542120031 has 32 divisors (see below), whose sum is σ = 616310107312640. Its totient is φ = 271997261150400.

The previous prime is 412002542119969. The next prime is 412002542120047. The reversal of 412002542120031 is 130021245200214.

412002542120031 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 0 + 2 + 5 + 421 + 200 + 31 = 666.

It is not a de Polignac number, because 412002542120031 - 2²⁹ = 412002005249119 is a prime.

It is a super-2 number, since 2×412002542120031² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 412002542119977 and 412002542120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412002542120051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174701916 + ... + 177044526.

It is an arithmetic number, because the mean of its divisors is an integer number (19259690853520).

Almost surely, 2^{412002542120031} is an apocalyptic number.

412002542120031 is a deficient number, since it is larger than the sum of its proper divisors (204307565192609).

412002542120031 is a wasteful number, since it uses less digits than its factorization.

412002542120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405964 (or 2405958 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 412002542120031 its reverse (130021245200214), we get a palindrome (542023787320245).

The spelling of 412002542120031 in words is "four hundred twelve trillion, two billion, five hundred forty-two million, one hundred twenty thousand, thirty-one".