11012221201200 has 120 divisors (see below), whose sum is σ = 35328233611728. Its totient is φ = 2932228669440.

The previous prime is 11012221201199. The next prime is 11012221201207. The reversal of 11012221201200 is 210212221011.

It is a tau number, because it is divible by the number of its divisors (120).

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 11012221201200.

It is not an unprimeable number, because it can be changed into a prime (11012221201207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6010269 + ... + 7625468.

Almost surely, 2^{11012221201200} is an apocalyptic number.

11012221201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012221201200 is an abundant number, since it is smaller than the sum of its proper divisors (24316012410528).

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

11012221201200 is a wasteful number, since it uses less digits than its factorization.

11012221201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636431 (or 13636420 counting only the distinct ones).

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

Adding to 11012221201200 its reverse (210212221011), we get a palindrome (11222433422211).

The spelling of 11012221201200 in words is "eleven trillion, twelve billion, two hundred twenty-one million, two hundred one thousand, two hundred".