71312121652400 has 90 divisors (see below), whose sum is σ = 173706477771420. Its totient is φ = 28134096468480.

The previous prime is 71312121652363. The next prime is 71312121652439. The reversal of 71312121652400 is 425612121317.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 14595770 + ... + 18858969.

It is an arithmetic number, because the mean of its divisors is an integer number (1930071975238).

Almost surely, 2^{71312121652400} is an apocalyptic number.

It is an amenable number.

71312121652400 is an abundant number, since it is smaller than the sum of its proper divisors (102394356119020).

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

71312121652400 is a wasteful number, since it uses less digits than its factorization.

71312121652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33454903 (or 33454819 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 71312121652400 its reverse (425612121317), we get a palindrome (71737733773717).

The spelling of 71312121652400 in words is "seventy-one trillion, three hundred twelve billion, one hundred twenty-one million, six hundred fifty-two thousand, four hundred".