111992400 has 180 divisors, whose sum is σ = 418715388. Its totient is φ = 27555840.

The previous prime is 111992393. The next prime is 111992407. The reversal of 111992400 is 4299111.

It is an interprime number because it is at equal distance from previous prime (111992393) and next prime (111992407).

It can be written as a sum of positive squares in 6 ways, for example, as 41835024 + 70157376 = 6468^2 + 8376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111992407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45604 + ... + 47996.

Almost surely, 2^111992400 is an apocalyptic number.

111992400 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 111992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209357694).

111992400 is an abundant number, since it is smaller than the sum of its proper divisors (306722988).

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

111992400 is a wasteful number, since it uses less digits than its factorization.

111992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 111992400 is about 10582.6461719175. The cubic root of 111992400 is about 482.0175495639.

The spelling of 111992400 in words is "one hundred eleven million, nine hundred ninety-two thousand, four hundred".