11221872355200 has 768 divisors, whose sum is σ = 42792211123200. Its totient is φ = 2561217822720.

The previous prime is 11221872355171. The next prime is 11221872355273. The reversal of 11221872355200 is 255327812211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 111396054 + ... + 111496746.

It is an arithmetic number, because the mean of its divisors is an integer number (55719024900).

Almost surely, 2^{11221872355200} is an apocalyptic number.

11221872355200 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 11221872355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396105561600).

11221872355200 is an abundant number, since it is smaller than the sum of its proper divisors (31570338768000).

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

11221872355200 is a wasteful number, since it uses less digits than its factorization.

11221872355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100799 (or 100782 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 11221872355200 in words is "eleven trillion, two hundred twenty-one billion, eight hundred seventy-two million, three hundred fifty-five thousand, two hundred".