1220413000 has 64 divisors (see below), whose sum is σ = 3023794800. Its totient is φ = 459443200.

The previous prime is 1220412989. The next prime is 1220413001. The reversal of 1220413000 is 3140221.

It can be written as a sum of positive squares in 8 ways, for example, as 91049764 + 1129363236 = 9542^2 + 33606^2 .

It is not an unprimeable number, because it can be changed into a prime (1220413001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18895 + ... + 52894.

Almost surely, 2^1220413000 is an apocalyptic number.

1220413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220413000 is an abundant number, since it is smaller than the sum of its proper divisors (1803381800).

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

1220413000 is a wasteful number, since it uses less digits than its factorization.

1220413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71827 (or 71813 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1220413000 is about 34934.4099706865. The cubic root of 1220413000 is about 1068.6502910753.

Adding to 1220413000 its reverse (3140221), we get a palindrome (1223553221).

The spelling of 1220413000 in words is "one billion, two hundred twenty million, four hundred thirteen thousand".