12260827780 has 48 divisors (see below), whose sum is σ = 26521775280. Its totient is φ = 4758220800.

The previous prime is 12260827723. The next prime is 12260827793. The reversal of 12260827780 is 8772806221.

It can be written as a sum of positive squares in 8 ways, for example, as 8170713664 + 4090114116 = 90392^2 + 63954^2 .

It is a super-3 number, since 3×12260827780³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107116 + ... + 189724.

It is an arithmetic number, because the mean of its divisors is an integer number (552536985).

Almost surely, 2^12260827780 is an apocalyptic number.

12260827780 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 12260827780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260887640).

12260827780 is an abundant number, since it is smaller than the sum of its proper divisors (14260947500).

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

12260827780 is a wasteful number, since it uses less digits than its factorization.

12260827780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82840 (or 82838 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 12260827780 in words is "twelve billion, two hundred sixty million, eight hundred twenty-seven thousand, seven hundred eighty".