30109212672 has 336 divisors, whose sum is σ = 101929521312. Its totient is φ = 7817134080.

The previous prime is 30109212629. The next prime is 30109212673. The reversal of 30109212672 is 27621290103.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (30109212673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13245328 + ... + 13247600.

Almost surely, 2^30109212672 is an apocalyptic number.

30109212672 is a gapful number since it is divisible by the number (32) 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 30109212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50964760656).

30109212672 is an abundant number, since it is smaller than the sum of its proper divisors (71820308640).

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

30109212672 is a wasteful number, since it uses less digits than its factorization.

30109212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 30109212672 in words is "thirty billion, one hundred nine million, two hundred twelve thousand, six hundred seventy-two".