1115012400 has 240 divisors, whose sum is σ = 3786186240. Its totient is φ = 279910400.

The previous prime is 1115012363. The next prime is 1115012401. The reversal of 1115012400 is 42105111.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1115012400.

It is not an unprimeable number, because it can be changed into a prime (1115012401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959316 + ... + 1959884.

It is an arithmetic number, because the mean of its divisors is an integer number (15775776).

Almost surely, 2^1115012400 is an apocalyptic number.

1115012400 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 1115012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893093120).

1115012400 is an abundant number, since it is smaller than the sum of its proper divisors (2671173840).

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

1115012400 is a wasteful number, since it uses less digits than its factorization.

1115012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1115012400 is about 33391.8013889637. The cubic root of 1115012400 is about 1036.9549738099.

Adding to 1115012400 its reverse (42105111), we get a palindrome (1157117511).

The spelling of 1115012400 in words is "one billion, one hundred fifteen million, twelve thousand, four hundred".