1220272128 has 168 divisors, whose sum is σ = 3661534968. Its totient is φ = 406093824.

The previous prime is 1220272037. The next prime is 1220272171. The reversal of 1220272128 is 8212720221.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 1990350 + ... + 1990962.

It is an arithmetic number, because the mean of its divisors is an integer number (21794851).

Almost surely, 2^1220272128 is an apocalyptic number.

1220272128 is a gapful number since it is divisible by the number (18) 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 1220272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830767484).

1220272128 is an abundant number, since it is smaller than the sum of its proper divisors (2441262840).

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

1220272128 is an frugal number, since it uses more digits than its factorization.

1220272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1220272128 is about 34932.3936769297. The cubic root of 1220272128 is about 1068.6091714716.

Adding to 1220272128 its reverse (8212720221), we get a palindrome (9432992349).

The spelling of 1220272128 in words is "one billion, two hundred twenty million, two hundred seventy-two thousand, one hundred twenty-eight".