1220413600 has 216 divisors, whose sum is σ = 3505275648. Its totient is φ = 413683200.

The previous prime is 1220413589. The next prime is 1220413619. The reversal of 1220413600 is 63140221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6389505 + ... + 6389695.

It is an arithmetic number, because the mean of its divisors is an integer number (16228128).

Almost surely, 2^1220413600 is an apocalyptic number.

1220413600 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 1220413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752637824).

1220413600 is an abundant number, since it is smaller than the sum of its proper divisors (2284862048).

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

1220413600 is a wasteful number, since it uses less digits than its factorization.

1220413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1220413600 is about 34934.4185582070. The cubic root of 1220413600 is about 1068.6504662045.

Adding to 1220413600 its reverse (63140221), we get a palindrome (1283553821).

The spelling of 1220413600 in words is "one billion, two hundred twenty million, four hundred thirteen thousand, six hundred".