501321123412000 has 48 divisors (see below), whose sum is σ = 1231746000233112. Its totient is φ = 200528449363200.

The previous prime is 501321123411883. The next prime is 501321123412003. The reversal of 501321123412000 is 214321123105.

It can be written as a sum of positive squares in 4 ways, for example, as 166785756677136 + 334535366734864 = 12914556^2 + 18290308^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (501321123412003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62665136427 + ... + 62665144426.

Almost surely, 2^{501321123412000} is an apocalyptic number.

501321123412000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

501321123412000 is an abundant number, since it is smaller than the sum of its proper divisors (730424876821112).

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

501321123412000 is a wasteful number, since it uses less digits than its factorization.

501321123412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125330280878 (or 125330280860 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 501321123412000 its reverse (214321123105), we get a palindrome (501535444535105).

The spelling of 501321123412000 in words is "five hundred one trillion, three hundred twenty-one billion, one hundred twenty-three million, four hundred twelve thousand".