11421211200 has 336 divisors, whose sum is σ = 44689044480. Its totient is φ = 2496890880.

The previous prime is 11421211189. The next prime is 11421211211. The reversal of 11421211200 is 211212411.

It is an interprime number because it is at equal distance from previous prime (11421211189) and next prime (11421211211).

It is a tau number, because it is divible by the number of its divisors (336).

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 11421211200.

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 47 ways as a sum of consecutive naturals, for example, 765411 + ... + 780189.

Almost surely, 2^11421211200 is an apocalyptic number.

11421211200 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 11421211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344522240).

11421211200 is an abundant number, since it is smaller than the sum of its proper divisors (33267833280).

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

11421211200 is a wasteful number, since it uses less digits than its factorization.

11421211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14834 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11421211200 its reverse (211212411), we get a palindrome (11632423611).

The spelling of 11421211200 in words is "eleven billion, four hundred twenty-one million, two hundred eleven thousand, two hundred".