1220469120 has 320 divisors, whose sum is σ = 4696377840. Its totient is φ = 300257280.

The previous prime is 1220469113. The next prime is 1220469167. The reversal of 1220469120 is 219640221.

It is a tau number, because it is divible by the number of its divisors (320).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673015 + ... + 674825.

Almost surely, 2^1220469120 is an apocalyptic number.

1220469120 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 1220469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348188920).

1220469120 is an abundant number, since it is smaller than the sum of its proper divisors (3475908720).

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

1220469120 is a wasteful number, since it uses less digits than its factorization.

1220469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1220469120 is about 34935.2131809726. The cubic root of 1220469120 is about 1068.6666712502. Note that the first 4 decimals are identical.

The spelling of 1220469120 in words is "one billion, two hundred twenty million, four hundred sixty-nine thousand, one hundred twenty".