11202221234400 has 288 divisors, whose sum is σ = 42458535479808. Its totient is φ = 2512196044800.

The previous prime is 11202221234387. The next prime is 11202221234401. The reversal of 11202221234400 is 443212220211.

It is a super-3 number, since 3×11202221234400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202221234401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5400156 + ... + 7180955.

It is an arithmetic number, because the mean of its divisors is an integer number (147425470416).

Almost surely, 2^{11202221234400} is an apocalyptic number.

11202221234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202221234400 is an abundant number, since it is smaller than the sum of its proper divisors (31256314245408).

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

11202221234400 is a wasteful number, since it uses less digits than its factorization.

11202221234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12581194 (or 12581181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11202221234400 its reverse (443212220211), we get a palindrome (11645433454611).

The spelling of 11202221234400 in words is "eleven trillion, two hundred two billion, two hundred twenty-one million, two hundred thirty-four thousand, four hundred".