1221411200 has 96 divisors (see below), whose sum is σ = 3176229000. Its totient is φ = 462827520.

The previous prime is 1221411167. The next prime is 1221411203. The reversal of 1221411200 is 21141221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221411203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50756 + ... + 70844.

Almost surely, 2^1221411200 is an apocalyptic number.

1221411200 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 1221411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588114500).

1221411200 is an abundant number, since it is smaller than the sum of its proper divisors (1954817800).

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

1221411200 is a wasteful number, since it uses less digits than its factorization.

1221411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20132 (or 20115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1221411200 is about 34948.6938239471. The cubic root of 1221411200 is about 1068.9415684326.

Adding to 1221411200 its reverse (21141221), we get a palindrome (1242552421).

The spelling of 1221411200 in words is "one billion, two hundred twenty-one million, four hundred eleven thousand, two hundred".