11412412200 has 288 divisors, whose sum is σ = 44422335360. Its totient is φ = 2571609600.

The previous prime is 11412412183. The next prime is 11412412211. The reversal of 11412412200 is 221421411.

11412412200 is a `hidden beast` number, since 11 + 41 + 2 + 412 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 888222 + ... + 900978.

It is an arithmetic number, because the mean of its divisors is an integer number (154244220).

Almost surely, 2^11412412200 is an apocalyptic number.

11412412200 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 11412412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22211167680).

11412412200 is an abundant number, since it is smaller than the sum of its proper divisors (33009923160).

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

11412412200 is a wasteful number, since it uses less digits than its factorization.

11412412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12857 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11412412200 its reverse (221421411), we get a palindrome (11633833611).

The spelling of 11412412200 in words is "eleven billion, four hundred twelve million, four hundred twelve thousand, two hundred".