202112413000 has 96 divisors (see below), whose sum is σ = 477696122280. Its totient is φ = 80040480000.

The previous prime is 202112412917. The next prime is 202112413033. The reversal of 202112413000 is 314211202.

It can be written as a sum of positive squares in 12 ways, for example, as 6421156 + 202105991844 = 2534^2 + 449562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10191094 + ... + 10210906.

Almost surely, 2^202112413000 is an apocalyptic number.

202112413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238848061140).

202112413000 is an abundant number, since it is smaller than the sum of its proper divisors (275583709280).

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

202112413000 is a wasteful number, since it uses less digits than its factorization.

202112413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036 (or 19921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202112413000 its reverse (314211202), we get a palindrome (202426624202).

The spelling of 202112413000 in words is "two hundred two billion, one hundred twelve million, four hundred thirteen thousand".