309838012000 has 192 divisors, whose sum is σ = 832899412800. Its totient is φ = 112339968000.

The previous prime is 309838011997. The next prime is 309838012019. The reversal of 309838012000 is 210838903.

It is a super-2 number, since 2×309838012000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15345912 + ... + 15366088.

It is an arithmetic number, because the mean of its divisors is an integer number (4338017775).

Almost surely, 2^309838012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309838012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416449706400).

309838012000 is an abundant number, since it is smaller than the sum of its proper divisors (523061400800).

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

309838012000 is a wasteful number, since it uses less digits than its factorization.

309838012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20562 (or 20544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 309838012000 in words is "three hundred nine billion, eight hundred thirty-eight million, twelve thousand".