1220899680 has 864 divisors, whose sum is σ = 5740888608. Its totient is φ = 234178560.

The previous prime is 1220899637. The next prime is 1220899699. The reversal of 1220899680 is 869980221.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 93915354 + ... + 93915366.

It is an arithmetic number, because the mean of its divisors is an integer number (6644547).

Almost surely, 2^1220899680 is an apocalyptic number.

1220899680 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 1220899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870444304).

1220899680 is an abundant number, since it is smaller than the sum of its proper divisors (4519988928).

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

1220899680 is a wasteful number, since it uses less digits than its factorization.

1220899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1220899680 is about 34941.3749013973. The cubic root of 1220899680 is about 1068.7923253988.

It can be divided in two parts, 122089 and 9680, that added together give a square (131769 = 363²).

The spelling of 1220899680 in words is "one billion, two hundred twenty million, eight hundred ninety-nine thousand, six hundred eighty".