1220523180 has 96 divisors (see below), whose sum is σ = 3507888384. Its totient is φ = 316909824.

The previous prime is 1220523179. The next prime is 1220523191. The reversal of 1220523180 is 813250221.

It is a self number, because there is not a number n which added to its sum of digits gives 1220523180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204354 + ... + 1205366.

It is an arithmetic number, because the mean of its divisors is an integer number (36540504).

Almost surely, 2^1220523180 is an apocalyptic number.

1220523180 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 1220523180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753944192).

1220523180 is an abundant number, since it is smaller than the sum of its proper divisors (2287365204).

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

1220523180 is a wasteful number, since it uses less digits than its factorization.

1220523180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1220523180 is about 34935.9868903113. The cubic root of 1220523180 is about 1068.6824496822.

It can be divided in two parts, 1220523 and 180, that added together give a triangular number (1220703 = T₁₅₆₂).

The spelling of 1220523180 in words is "one billion, two hundred twenty million, five hundred twenty-three thousand, one hundred eighty".