1220224243200 has 480 divisors, whose sum is σ = 4149668883360. Its totient is φ = 315850752000.

The previous prime is 1220224243171. The next prime is 1220224243279. The reversal of 1220224243200 is 23424220221.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853900086 + ... + 853901514.

It is an arithmetic number, because the mean of its divisors is an integer number (8645143507).

Almost surely, 2^{1220224243200} is an apocalyptic number.

1220224243200 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 1220224243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074834441680).

1220224243200 is an abundant number, since it is smaller than the sum of its proper divisors (2929444640160).

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

1220224243200 is a wasteful number, since it uses less digits than its factorization.

1220224243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1220224243200 its reverse (23424220221), we get a palindrome (1243648463421).

The spelling of 1220224243200 in words is "one trillion, two hundred twenty billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred".