20130212023200 has 108 divisors (see below), whose sum is σ = 70984160172198. Its totient is φ = 5368056537600.

The previous prime is 20130212023189. The next prime is 20130212023217. The reversal of 20130212023200 is 232021203102.

20130212023200 is a `hidden beast` number, since 2 + 0 + 130 + 212 + 0 + 2 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11791724152464 + 8338487870736 = 3433908^2 + 2887644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1397924191 + ... + 1397938590.

Almost surely, 2^{20130212023200} is an apocalyptic number.

20130212023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130212023200 is an abundant number, since it is smaller than the sum of its proper divisors (50853948148998).

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

20130212023200 is a wasteful number, since it uses less digits than its factorization.

20130212023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795862807 (or 2795862791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20130212023200 its reverse (232021203102), we get a palindrome (20362233226302).

The spelling of 20130212023200 in words is "twenty trillion, one hundred thirty billion, two hundred twelve million, twenty-three thousand, two hundred".