111967812 has 72 divisors (see below), whose sum is σ = 317711520. Its totient is φ = 33819120.

The previous prime is 111967799. The next prime is 111967813. The reversal of 111967812 is 218769111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (111967813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364563 + ... + 364869.

It is an arithmetic number, because the mean of its divisors is an integer number (4412660).

Almost surely, 2^111967812 is an apocalyptic number.

111967812 is a gapful number since it is divisible by the number (12) 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 111967812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158855760).

111967812 is an abundant number, since it is smaller than the sum of its proper divisors (205743708).

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

111967812 is a wasteful number, since it uses less digits than its factorization.

111967812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 323 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 111967812 is about 10581.4843949230. The cubic root of 111967812 is about 481.9822712326.

The spelling of 111967812 in words is "one hundred eleven million, nine hundred sixty-seven thousand, eight hundred twelve".