30323122020000 has 1440 divisors, whose sum is σ = 115934057038800. Its totient is φ = 7488847872000.

The previous prime is 30323122019999. The next prime is 30323122020011. The reversal of 30323122020000 is 2022132303.

It is a happy number.

It can be written as a sum of positive squares in 40 ways, for example, as 6299517693456 + 24023604326544 = 2509884^2 + 4901388^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76380659802 + ... + 76380660198.

Almost surely, 2^{30323122020000} is an apocalyptic number.

30323122020000 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 30323122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57967028519400).

30323122020000 is an abundant number, since it is smaller than the sum of its proper divisors (85610935018800).

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

30323122020000 is a wasteful number, since it uses less digits than its factorization.

30323122020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30323122020000 its reverse (2022132303), we get a palindrome (30325144152303).

The spelling of 30323122020000 in words is "thirty trillion, three hundred twenty-three billion, one hundred twenty-two million, twenty thousand".