306699981120 has 1008 divisors, whose sum is σ = 1250986817808. Its totient is φ = 70946979840.

The previous prime is 306699981083. The next prime is 306699981121. The reversal of 306699981120 is 21189996603.

It can be written as a sum of positive squares in 8 ways, for example, as 457275456 + 306242705664 = 21384^2 + 553392^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306699981121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 463993590 + ... + 463994250.

It is an arithmetic number, because the mean of its divisors is an integer number (1241058351).

Almost surely, 2^306699981120 is an apocalyptic number.

306699981120 is a gapful number since it is divisible by the number (30) 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 306699981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625493408904).

306699981120 is an abundant number, since it is smaller than the sum of its proper divisors (944286836688).

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

306699981120 is an equidigital number, since it uses as much as digits as its factorization.

306699981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 306699981120 in words is "three hundred six billion, six hundred ninety-nine million, nine hundred eighty-one thousand, one hundred twenty".