30135321216 has 1024 divisors, whose sum is σ = 123708211200. Its totient is φ = 6967296000.

The previous prime is 30135321149. The next prime is 30135321299. The reversal of 30135321216 is 61212353103.

30135321216 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 532 + 121 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30135321216.

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, 107242996 + ... + 107243276.

It is an arithmetic number, because the mean of its divisors is an integer number (120808800).

Almost surely, 2^30135321216 is an apocalyptic number.

30135321216 is a gapful number since it is divisible by the number (36) 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 30135321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61854105600).

30135321216 is an abundant number, since it is smaller than the sum of its proper divisors (93572889984).

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

30135321216 is a wasteful number, since it uses less digits than its factorization.

30135321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 30135321216 its reverse (61212353103), we get a palindrome (91347674319).

The spelling of 30135321216 in words is "thirty billion, one hundred thirty-five million, three hundred twenty-one thousand, two hundred sixteen".