1107227828112 has 480 divisors, whose sum is σ = 3622796697600. Its totient is φ = 289567789056.

The previous prime is 1107227828111. The next prime is 1107227828137. The reversal of 1107227828112 is 2118287227011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1107227828111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165923208 + ... + 165929880.

It is an arithmetic number, because the mean of its divisors is an integer number (7547493120).

Almost surely, 2^{1107227828112} is an apocalyptic number.

1107227828112 is a gapful number since it is divisible by the number (12) 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 1107227828112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811398348800).

1107227828112 is an abundant number, since it is smaller than the sum of its proper divisors (2515568869488).

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

1107227828112 is a wasteful number, since it uses less digits than its factorization.

1107227828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The spelling of 1107227828112 in words is "one trillion, one hundred seven billion, two hundred twenty-seven million, eight hundred twenty-eight thousand, one hundred twelve".