11034421200 has 720 divisors, whose sum is σ = 45528889536. Its totient is φ = 2444083200.

The previous prime is 11034421199. The next prime is 11034421219. The reversal of 11034421200 is 212443011.

11034421200 is a `hidden beast` number, since 1 + 10 + 34 + 421 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24908179 + ... + 24908621.

Almost surely, 2^11034421200 is an apocalyptic number.

11034421200 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 11034421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764444768).

11034421200 is an abundant number, since it is smaller than the sum of its proper divisors (34494468336).

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

11034421200 is a wasteful number, since it uses less digits than its factorization.

11034421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11034421200 its reverse (212443011), we get a palindrome (11246864211).

It can be divided in two parts, 11034 and 421200, that added together give a palindrome (432234).

The spelling of 11034421200 in words is "eleven billion, thirty-four million, four hundred twenty-one thousand, two hundred".