112266781200 has 1440 divisors, whose sum is σ = 489325824000. Its totient is φ = 23769123840.

The previous prime is 112266781169. The next prime is 112266781229. The reversal of 112266781200 is 2187662211.

112266781200 is a `hidden beast` number, since 112 + 266 + 7 + 81 + 200 = 666.

It is a super-2 number, since 2×112266781200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1675623567 + ... + 1675623633.

It is an arithmetic number, because the mean of its divisors is an integer number (339809600).

Almost surely, 2^112266781200 is an apocalyptic number.

112266781200 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 112266781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244662912000).

112266781200 is an abundant number, since it is smaller than the sum of its proper divisors (377059042800).

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

112266781200 is a wasteful number, since it uses less digits than its factorization.

112266781200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112266781200 in words is "one hundred twelve billion, two hundred sixty-six million, seven hundred eighty-one thousand, two hundred".