1112690400 has 144 divisors (see below), whose sum is σ = 3646110384. Its totient is φ = 294727680.

The previous prime is 1112690399. The next prime is 1112690401. The reversal of 1112690400 is 40962111.

It is an interprime number because it is at equal distance from previous prime (1112690399) and next prime (1112690401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112690401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375324 + ... + 378276.

It is an arithmetic number, because the mean of its divisors is an integer number (25320211).

Almost surely, 2^1112690400 is an apocalyptic number.

1112690400 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 1112690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823055192).

1112690400 is an abundant number, since it is smaller than the sum of its proper divisors (2533419984).

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

1112690400 is a wasteful number, since it uses less digits than its factorization.

1112690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1112690400 is about 33357.0142548760. The cubic root of 1112690400 is about 1036.2346581145.

The spelling of 1112690400 in words is "one billion, one hundred twelve million, six hundred ninety thousand, four hundred".