111112113000 has 256 divisors, whose sum is σ = 396717834240. Its totient is φ = 25363488000.

The previous prime is 111112112981. The next prime is 111112113019. The reversal of 111112113000 is 311211111.

It is an interprime number because it is at equal distance from previous prime (111112112981) and next prime (111112113019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18119935 + ... + 18126065.

It is an arithmetic number, because the mean of its divisors is an integer number (1549679040).

Almost surely, 2^111112113000 is an apocalyptic number.

111112113000 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 111112113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198358917120).

111112113000 is an abundant number, since it is smaller than the sum of its proper divisors (285605721240).

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

111112113000 is a wasteful number, since it uses less digits than its factorization.

111112113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 111112113000 its reverse (311211111), we get a palindrome (111423324111).

The spelling of 111112113000 in words is "one hundred eleven billion, one hundred twelve million, one hundred thirteen thousand".