320212124400400 has 60 divisors (see below), whose sum is σ = 769356323288244. Its totient is φ = 128077075456000.

The previous prime is 320212124400307. The next prime is 320212124400439. The reversal of 320212124400400 is 4004421212023.

It can be written as a sum of positive squares in 6 ways, for example, as 8257967774224 + 311954156626176 = 2873668^2 + 17662224^2 .

It is a super-2 number, since 2×320212124400400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17694061 + ... + 30878860.

Almost surely, 2^{320212124400400} is an apocalyptic number.

It is an amenable number.

320212124400400 is an abundant number, since it is smaller than the sum of its proper divisors (449144198887844).

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

320212124400400 is a wasteful number, since it uses less digits than its factorization.

320212124400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48589420 (or 48589409 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 320212124400400 its reverse (4004421212023), we get a palindrome (324216545612423).

The spelling of 320212124400400 in words is "three hundred twenty trillion, two hundred twelve billion, one hundred twenty-four million, four hundred thousand, four hundred".