1220852772 has 18 divisors (see below), whose sum is σ = 3086044598. Its totient is φ = 406950912.

The previous prime is 1220852749. The next prime is 1220852779. The reversal of 1220852772 is 2772580221.

1220852772 is a `hidden beast` number, since 122 + 0 + 8 + 527 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1193978916 + 26873856 = 34554^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 33912577 = 1220852772 / (1 + 2 + 2 + 0 + 8 + 5 + 2 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (1220852779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16956253 + ... + 16956324.

Almost surely, 2^1220852772 is an apocalyptic number.

1220852772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220852772 is an abundant number, since it is smaller than the sum of its proper divisors (1865191826).

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

1220852772 is a wasteful number, since it uses less digits than its factorization.

1220852772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33912587 (or 33912582 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1220852772 is about 34940.7036563375. The cubic root of 1220852772 is about 1068.7786372546.

It can be divided in two parts, 12208 and 52772, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 1220852772 in words is "one billion, two hundred twenty million, eight hundred fifty-two thousand, seven hundred seventy-two".