712040112 has 160 divisors (see below), whose sum is σ = 2393180160. Its totient is φ = 198443520.

The previous prime is 712040089. The next prime is 712040113. The reversal of 712040112 is 211040217.

712040112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×712040112² = 1014002242193945088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (712040113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121113 + ... + 126855.

It is an arithmetic number, because the mean of its divisors is an integer number (14957376).

Almost surely, 2^712040112 is an apocalyptic number.

712040112 is a gapful number since it is divisible by the number (72) 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 712040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196590080).

712040112 is an abundant number, since it is smaller than the sum of its proper divisors (1681140048).

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

712040112 is a wasteful number, since it uses less digits than its factorization.

712040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 712040112 is about 26684.0797480445. The cubic root of 712040112 is about 892.9657875151.

Adding to 712040112 its reverse (211040217), we get a palindrome (923080329).

The spelling of 712040112 in words is "seven hundred twelve million, forty thousand, one hundred twelve".