1228785120 has 384 divisors, whose sum is σ = 4572288000. Its totient is φ = 307574784.

The previous prime is 1228785113. The next prime is 1228785127. The reversal of 1228785120 is 215878221.

It is an interprime number because it is at equal distance from previous prime (1228785113) and next prime (1228785127).

It is a super-2 number, since 2×1228785120² = 3019825742266828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228785127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8246806 + ... + 8246954.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^1228785120 is an apocalyptic number.

1228785120 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 1228785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144000).

1228785120 is an abundant number, since it is smaller than the sum of its proper divisors (3343502880).

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

1228785120 is a wasteful number, since it uses less digits than its factorization.

1228785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1228785120 is about 35054.0314371971. The cubic root of 1228785120 is about 1071.0883966929.

The spelling of 1228785120 in words is "one billion, two hundred twenty-eight million, seven hundred eighty-five thousand, one hundred twenty".