1220333100 has 144 divisors (see below), whose sum is σ = 4272726528. Its totient is φ = 262517760.

The previous prime is 1220333089. The next prime is 1220333113. The reversal of 1220333100 is 13330221.

It is a super-2 number, since 2×1220333100² = 2978425749911220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220333100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18609 + ... + 52791.

It is an arithmetic number, because the mean of its divisors is an integer number (29671712).

Almost surely, 2^1220333100 is an apocalyptic number.

1220333100 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 1220333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136363264).

1220333100 is an abundant number, since it is smaller than the sum of its proper divisors (3052393428).

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

1220333100 is a wasteful number, since it uses less digits than its factorization.

1220333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34224 (or 34217 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1220333100 is about 34933.2663803430. The cubic root of 1220333100 is about 1068.6269691830.

Adding to 1220333100 its reverse (13330221), we get a palindrome (1233663321).

The spelling of 1220333100 in words is "one billion, two hundred twenty million, three hundred thirty-three thousand, one hundred".