110412720 has 200 divisors, whose sum is σ = 418611600. Its totient is φ = 26749440.

The previous prime is 110412703. The next prime is 110412721. The reversal of 110412720 is 27214011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110412693 and 110412702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110412721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70506 + ... + 72054.

It is an arithmetic number, because the mean of its divisors is an integer number (2093058).

Almost surely, 2^110412720 is an apocalyptic number.

110412720 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 110412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209305800).

110412720 is an abundant number, since it is smaller than the sum of its proper divisors (308198880).

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

110412720 is a wasteful number, since it uses less digits than its factorization.

110412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 110412720 is about 10507.7457144718. The cubic root of 110412720 is about 479.7404847166.

Adding to 110412720 its reverse (27214011), we get a palindrome (137626731).

It can be divided in two parts, 1104 and 12720, that added together give a cube (13824 = 24³).

The spelling of 110412720 in words is "one hundred ten million, four hundred twelve thousand, seven hundred twenty".