1221517200 has 120 divisors (see below), whose sum is σ = 3971590048. Its totient is φ = 320855040.

The previous prime is 1221517159. The next prime is 1221517247. The reversal of 1221517200 is 27151221.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72804 + ... + 87996.

Almost surely, 2^1221517200 is an apocalyptic number.

1221517200 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 1221517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985795024).

1221517200 is an abundant number, since it is smaller than the sum of its proper divisors (2750072848).

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

1221517200 is a wasteful number, since it uses less digits than its factorization.

1221517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15281 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1221517200 is about 34950.2102997965. The cubic root of 1221517200 is about 1068.9724901862.

Adding to 1221517200 its reverse (27151221), we get a palindrome (1248668421).

The spelling of 1221517200 in words is "one billion, two hundred twenty-one million, five hundred seventeen thousand, two hundred".