30002120131320 has 384 divisors, whose sum is σ = 109327238092800. Its totient is φ = 7090910097408.

The previous prime is 30002120131297. The next prime is 30002120131343. The reversal of 30002120131320 is 2313102120003.

30002120131320 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 212 + 0 + 131 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (30002120131297) and next prime (30002120131343).

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

It is a junction number, because it is equal to n+sod(n) for n = 30002120131293 and 30002120131302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18646257 + ... + 20191263.

It is an arithmetic number, because the mean of its divisors is an integer number (284706349200).

Almost surely, 2^{30002120131320} is an apocalyptic number.

30002120131320 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 30002120131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54663619046400).

30002120131320 is an abundant number, since it is smaller than the sum of its proper divisors (79325117961480).

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

30002120131320 is a wasteful number, since it uses less digits than its factorization.

30002120131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545227 (or 1545220 counting only the distinct ones).

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

Adding to 30002120131320 its reverse (2313102120003), we get a palindrome (32315222251323).

The spelling of 30002120131320 in words is "thirty trillion, two billion, one hundred twenty million, one hundred thirty-one thousand, three hundred twenty".