1221354200 has 192 divisors, whose sum is σ = 3321216000. Its totient is φ = 412992000.

The previous prime is 1221354187. The next prime is 1221354263. The reversal of 1221354200 is 24531221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2549561 + ... + 2550039.

It is an arithmetic number, because the mean of its divisors is an integer number (17298000).

Almost surely, 2^1221354200 is an apocalyptic number.

1221354200 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 1221354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660608000).

1221354200 is an abundant number, since it is smaller than the sum of its proper divisors (2099861800).

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

1221354200 is a wasteful number, since it uses less digits than its factorization.

1221354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1221354200 is about 34947.8783333123. The cubic root of 1221354200 is about 1068.9249399575.

Adding to 1221354200 its reverse (24531221), we get a palindrome (1245885421).

The spelling of 1221354200 in words is "one billion, two hundred twenty-one million, three hundred fifty-four thousand, two hundred".