1123100400 has 240 divisors, whose sum is σ = 3791721600. Its totient is φ = 283745280.

The previous prime is 1123100383. The next prime is 1123100417. The reversal of 1123100400 is 40013211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123100383) and next prime (1123100417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1123100400² = 2522709016960320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052927 + ... + 2053473.

It is an arithmetic number, because the mean of its divisors is an integer number (15798840).

Almost surely, 2^1123100400 is an apocalyptic number.

1123100400 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 1123100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895860800).

1123100400 is an abundant number, since it is smaller than the sum of its proper divisors (2668621200).

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

1123100400 is a wasteful number, since it uses less digits than its factorization.

1123100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1123100400 is about 33512.6901337389. The cubic root of 1123100400 is about 1039.4561999257.

Adding to 1123100400 its reverse (40013211), we get a palindrome (1163113611).

The spelling of 1123100400 in words is "one billion, one hundred twenty-three million, one hundred thousand, four hundred".