111126400 has 288 divisors, whose sum is σ = 353258640. Its totient is φ = 33792000.

The previous prime is 111126373. The next prime is 111126427. The reversal of 111126400 is 4621111.

It is an interprime number because it is at equal distance from previous prime (111126373) and next prime (111126427).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2710380 + ... + 2710420.

Almost surely, 2^111126400 is an apocalyptic number.

111126400 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 111126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176629320).

111126400 is an abundant number, since it is smaller than the sum of its proper divisors (242132240).

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

111126400 is a wasteful number, since it uses less digits than its factorization.

111126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 111126400 is about 10541.6507246256. The cubic root of 111126400 is about 480.7719061513.

Adding to 111126400 its reverse (4621111), we get a palindrome (115747511).

It can be divided in two parts, 11 and 1126400, that multiplied together give a square (12390400 = 3520²).

The spelling of 111126400 in words is "one hundred eleven million, one hundred twenty-six thousand, four hundred".