202304112120 has 192 divisors, whose sum is σ = 727966362240. Its totient is φ = 48311366400.

The previous prime is 202304112083. The next prime is 202304112133. The reversal of 202304112120 is 21211403202.

It is a happy number.

202304112120 is a `hidden beast` number, since 2 + 0 + 230 + 411 + 2 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202304112093 and 202304112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115926 + ... + 646565.

It is an arithmetic number, because the mean of its divisors is an integer number (3791491470).

Almost surely, 2^202304112120 is an apocalyptic number.

202304112120 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 202304112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363983181120).

202304112120 is an abundant number, since it is smaller than the sum of its proper divisors (525662250120).

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

202304112120 is a wasteful number, since it uses less digits than its factorization.

202304112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762586 (or 762579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202304112120 its reverse (21211403202), we get a palindrome (223515515322).

The spelling of 202304112120 in words is "two hundred two billion, three hundred four million, one hundred twelve thousand, one hundred twenty".