112345110000 has 800 divisors, whose sum is σ = 427663104000. Its totient is φ = 28169856000.

The previous prime is 112345109959. The next prime is 112345110041. The reversal of 112345110000 is 11543211.

112345110000 is a `hidden beast` number, since 112 + 3 + 451 + 100 + 0 + 0 = 666.

112345110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112345109959) and next prime (112345110041).

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 159 ways as a sum of consecutive naturals, for example, 490589886 + ... + 490590114.

It is an arithmetic number, because the mean of its divisors is an integer number (534578880).

Almost surely, 2^112345110000 is an apocalyptic number.

112345110000 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 112345110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213831552000).

112345110000 is an abundant number, since it is smaller than the sum of its proper divisors (315317994000).

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

112345110000 is a wasteful number, since it uses less digits than its factorization.

112345110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 112345110000 its reverse (11543211), we get a palindrome (112356653211).

The spelling of 112345110000 in words is "one hundred twelve billion, three hundred forty-five million, one hundred ten thousand".