112102002040 has 96 divisors (see below), whose sum is σ = 293709244320. Its totient is φ = 38395752192.

The previous prime is 112102002017. The next prime is 112102002041. The reversal of 112102002040 is 40200201211.

It is a happy number.

It is a super-2 number, since 2×112102002040² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112102002040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925437 + ... + 1982803.

It is an arithmetic number, because the mean of its divisors is an integer number (3059471295).

Almost surely, 2^112102002040 is an apocalyptic number.

112102002040 is a gapful number since it is divisible by the number (10) 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 112102002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146854622160).

112102002040 is an abundant number, since it is smaller than the sum of its proper divisors (181607242280).

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

112102002040 is a wasteful number, since it uses less digits than its factorization.

112102002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58389 (or 58378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112102002040 its reverse (40200201211), we get a palindrome (152302203251).

The spelling of 112102002040 in words is "one hundred twelve billion, one hundred two million, two thousand, forty".