405252120312 has 96 divisors (see below), whose sum is σ = 1189918548000. Its totient is φ = 123856051968.

The previous prime is 405252120311. The next prime is 405252120319. The reversal of 405252120312 is 213021252504.

405252120312 is a `hidden beast` number, since 4 + 0 + 525 + 2 + 120 + 3 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405252120311) 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 23 ways as a sum of consecutive naturals, for example, 1313428 + ... + 1592355.

It is an arithmetic number, because the mean of its divisors is an integer number (12394984875).

Almost surely, 2^405252120312 is an apocalyptic number.

It is an amenable number.

405252120312 is an abundant number, since it is smaller than the sum of its proper divisors (784666427688).

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

405252120312 is a wasteful number, since it uses less digits than its factorization.

405252120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905957 (or 2905950 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 405252120312 its reverse (213021252504), we get a palindrome (618273372816).

The spelling of 405252120312 in words is "four hundred five billion, two hundred fifty-two million, one hundred twenty thousand, three hundred twelve".