11220224420400 has 240 divisors, whose sum is σ = 38311783380000. Its totient is φ = 2797155860480.

The previous prime is 11220224420393. The next prime is 11220224420401. The reversal of 11220224420400 is 402442202211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (11220224420401) 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, 1193926 + ... + 4885274.

It is an arithmetic number, because the mean of its divisors is an integer number (159632430750).

Almost surely, 2^{11220224420400} is an apocalyptic number.

11220224420400 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 11220224420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155891690000).

11220224420400 is an abundant number, since it is smaller than the sum of its proper divisors (27091558959600).

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

11220224420400 is a wasteful number, since it uses less digits than its factorization.

11220224420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691536 (or 3691525 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11220224420400 its reverse (402442202211), we get a palindrome (11622666622611).

The spelling of 11220224420400 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-four million, four hundred twenty thousand, four hundred".