1224020000 has 180 divisors, whose sum is σ = 3505713750. Its totient is φ = 419328000.

The previous prime is 1224019999. The next prime is 1224020029. The reversal of 1224020000 is 204221.

It can be written as a sum of positive squares in 5 ways, for example, as 4892944 + 1219127056 = 2212^2 + 34916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 979376 + ... + 980624.

Almost surely, 2^1224020000 is an apocalyptic number.

1224020000 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 1224020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752856875).

1224020000 is an abundant number, since it is smaller than the sum of its proper divisors (2281693750).

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

1224020000 is an equidigital number, since it uses as much as digits as its factorization.

1224020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1224020000 is about 34985.9971988794. The cubic root of 1224020000 is about 1069.7020744484.

Adding to 1224020000 its reverse (204221), we get a palindrome (1224224221).

The spelling of 1224020000 in words is "one billion, two hundred twenty-four million, twenty thousand".