202112040 has 256 divisors, whose sum is σ = 702535680. Its totient is φ = 46126080.

The previous prime is 202112039. The next prime is 202112069. The reversal of 202112040 is 40211202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542775 + ... + 1542905.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^202112040 is an apocalyptic number.

202112040 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 202112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351267840).

202112040 is an abundant number, since it is smaller than the sum of its proper divisors (500423640).

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

202112040 is a wasteful number, since it uses less digits than its factorization.

202112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202112040 is about 14216.6114105999. The cubic root of 202112040 is about 586.8548911078.

Adding to 202112040 its reverse (40211202), we get a palindrome (242323242).

The spelling of 202112040 in words is "two hundred two million, one hundred twelve thousand, forty".