306354168120 has 2048 divisors, whose sum is σ = 1374879744000. Its totient is φ = 53648179200.

The previous prime is 306354168101. The next prime is 306354168149. The reversal of 306354168120 is 21861453603.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4196632404 + ... + 4196632476.

It is an arithmetic number, because the mean of its divisors is an integer number (671328000).

Almost surely, 2^306354168120 is an apocalyptic number.

306354168120 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 306354168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687439872000).

306354168120 is an abundant number, since it is smaller than the sum of its proper divisors (1068525575880).

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

306354168120 is a wasteful number, since it uses less digits than its factorization.

306354168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

It can be divided in two parts, 306354 and 168120, that added together give a palindrome (474474).

The spelling of 306354168120 in words is "three hundred six billion, three hundred fifty-four million, one hundred sixty-eight thousand, one hundred twenty".