11212401200 has 480 divisors, whose sum is σ = 37104625152. Its totient is φ = 3142656000.

The previous prime is 11212401181. The next prime is 11212401229. The reversal of 11212401200 is 210421211.

It is a happy number.

It is a super-2 number, since 2×11212401200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16416059 + ... + 16416741.

Almost surely, 2^11212401200 is an apocalyptic number.

11212401200 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 11212401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552312576).

11212401200 is an abundant number, since it is smaller than the sum of its proper divisors (25892223952).

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

11212401200 is a wasteful number, since it uses less digits than its factorization.

11212401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212401200 its reverse (210421211), we get a palindrome (11422822411).

The spelling of 11212401200 in words is "eleven billion, two hundred twelve million, four hundred one thousand, two hundred".