11612264200 has 96 divisors (see below), whose sum is σ = 28672048800. Its totient is φ = 4361333760.

The previous prime is 11612264189. The next prime is 11612264221. The reversal of 11612264200 is 246221611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415879 + ... + 442921.

It is an arithmetic number, because the mean of its divisors is an integer number (298667175).

Almost surely, 2^11612264200 is an apocalyptic number.

11612264200 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 11612264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336024400).

11612264200 is an abundant number, since it is smaller than the sum of its proper divisors (17059784600).

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

11612264200 is a wasteful number, since it uses less digits than its factorization.

11612264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27191 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11612264200 its reverse (246221611), we get a palindrome (11858485811).

The spelling of 11612264200 in words is "eleven billion, six hundred twelve million, two hundred sixty-four thousand, two hundred".