111722320400 has 120 divisors (see below), whose sum is σ = 285312174120. Its totient is φ = 41895854080.

The previous prime is 111722320357. The next prime is 111722320421. The reversal of 111722320400 is 4023227111.

It can be written as a sum of positive squares in 12 ways, for example, as 9086664976 + 102635655424 = 95324^2 + 320368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715636 + ... + 1779564.

It is an arithmetic number, because the mean of its divisors is an integer number (2377601451).

Almost surely, 2^111722320400 is an apocalyptic number.

111722320400 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 111722320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142656087060).

111722320400 is an abundant number, since it is smaller than the sum of its proper divisors (173589853720).

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

111722320400 is a wasteful number, since it uses less digits than its factorization.

111722320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64221 (or 64210 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 111722320400 its reverse (4023227111), we get a palindrome (115745547511).

The spelling of 111722320400 in words is "one hundred eleven billion, seven hundred twenty-two million, three hundred twenty thousand, four hundred".