30839311122000 has 640 divisors, whose sum is σ = 109842152509440. Its totient is φ = 7409059891200.

The previous prime is 30839311121959. The next prime is 30839311122043. The reversal of 30839311122000 is 22111393803.

It is a super-2 number, since 2×30839311122000² (a number of 28 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 127 ways as a sum of consecutive naturals, for example, 453572007 + ... + 453639993.

It is an arithmetic number, because the mean of its divisors is an integer number (171628363296).

Almost surely, 2^{30839311122000} is an apocalyptic number.

30839311122000 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 30839311122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54921076254720).

30839311122000 is an abundant number, since it is smaller than the sum of its proper divisors (79002841387440).

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

30839311122000 is a wasteful number, since it uses less digits than its factorization.

30839311122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68228 (or 68212 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 30839311122000 in words is "thirty trillion, eight hundred thirty-nine billion, three hundred eleven million, one hundred twenty-two thousand".