30311203122000 has 480 divisors, whose sum is σ = 109804957595424. Its totient is φ = 7786644480000.

The previous prime is 30311203121989. The next prime is 30311203122023. The reversal of 30311203122000 is 22130211303.

30311203122000 is a `hidden beast` number, since 3 + 0 + 31 + 120 + 312 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9680785068816 + 20630418053184 = 3111396^2 + 4542072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67040692 + ... + 67491308.

Almost surely, 2^{30311203122000} is an apocalyptic number.

30311203122000 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 30311203122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54902478797712).

30311203122000 is an abundant number, since it is smaller than the sum of its proper divisors (79493754473424).

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

30311203122000 is a wasteful number, since it uses less digits than its factorization.

30311203122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450784 (or 450765 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30311203122000 its reverse (22130211303), we get a palindrome (30333333333303).

The spelling of 30311203122000 in words is "thirty trillion, three hundred eleven billion, two hundred three million, one hundred twenty-two thousand".