11221011001200 has 1440 divisors, whose sum is σ = 49840598426112. Its totient is φ = 2094004224000.

The previous prime is 11221011001183. The next prime is 11221011001217. The reversal of 11221011001200 is 210011012211.

It is an interprime number because it is at equal distance from previous prime (11221011001183) and next prime (11221011001217).

It is a super-2 number, since 2×11221011001200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 577767490 + ... + 577786910.

Almost surely, 2^{11221011001200} is an apocalyptic number.

11221011001200 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 11221011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24920299213056).

11221011001200 is an abundant number, since it is smaller than the sum of its proper divisors (38619587424912).

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

11221011001200 is a wasteful number, since it uses less digits than its factorization.

11221011001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19523 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221011001200 its reverse (210011012211), we get a palindrome (11431022013411).

The spelling of 11221011001200 in words is "eleven trillion, two hundred twenty-one billion, eleven million, one thousand, two hundred".