20121113304400 has 60 divisors (see below), whose sum is σ = 48552070894300. Its totient is φ = 8013299235840.

The previous prime is 20121113304377. The next prime is 20121113304401. The reversal of 20121113304400 is 440331112102.

It can be written as a sum of positive squares in 6 ways, for example, as 1437764068624 + 18683349235776 = 1199068^2 + 4322424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121113304401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109739805 + ... + 109923004.

Almost surely, 2^{20121113304400} is an apocalyptic number.

20121113304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121113304400 is an abundant number, since it is smaller than the sum of its proper divisors (28430957589900).

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

20121113304400 is a wasteful number, since it uses less digits than its factorization.

20121113304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219663056 (or 219663045 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20121113304400 its reverse (440331112102), we get a palindrome (20561444416502).

The spelling of 20121113304400 in words is "twenty trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred four thousand, four hundred".