202118112 has 192 divisors, whose sum is σ = 703503360. Its totient is φ = 55199232.

The previous prime is 202118099. The next prime is 202118179. The reversal of 202118112 is 211811202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138378 + ... + 139830.

It is an arithmetic number, because the mean of its divisors is an integer number (3664080).

Almost surely, 2^202118112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351751680).

202118112 is an abundant number, since it is smaller than the sum of its proper divisors (501385248).

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

202118112 is a wasteful number, since it uses less digits than its factorization.

202118112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 202118112 is about 14216.8249619949. The cubic root of 202118112 is about 586.8607679591.

Adding to 202118112 its reverse (211811202), we get a palindrome (413929314).

The spelling of 202118112 in words is "two hundred two million, one hundred eighteen thousand, one hundred twelve".