202113304120 has 256 divisors, whose sum is σ = 579911270400. Its totient is φ = 61662504960.

The previous prime is 202113304111. The next prime is 202113304171. The reversal of 202113304120 is 21403311202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95741865 + ... + 95743975.

It is an arithmetic number, because the mean of its divisors is an integer number (2265278400).

Almost surely, 2^202113304120 is an apocalyptic number.

202113304120 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 202113304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289955635200).

202113304120 is an abundant number, since it is smaller than the sum of its proper divisors (377797966280).

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

202113304120 is a wasteful number, since it uses less digits than its factorization.

202113304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 202113304120 its reverse (21403311202), we get a palindrome (223516615322).

It can be divided in two parts, 20211 and 3304120, that added together give a triangular number (3324331 = T₂₅₇₈).

The spelling of 202113304120 in words is "two hundred two billion, one hundred thirteen million, three hundred four thousand, one hundred twenty".