30412150272 has 960 divisors, whose sum is σ = 117554976000. Its totient is φ = 7691894784.

The previous prime is 30412150271. The next prime is 30412150337. The reversal of 30412150272 is 27205121403.

30412150272 is a `hidden beast` number, since 30 + 4 + 121 + 502 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30412150271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218792379 + ... + 218792517.

It is an arithmetic number, because the mean of its divisors is an integer number (122453100).

Almost surely, 2^30412150272 is an apocalyptic number.

30412150272 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 30412150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488000).

30412150272 is an abundant number, since it is smaller than the sum of its proper divisors (87142825728).

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

30412150272 is a wasteful number, since it uses less digits than its factorization.

30412150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 30412150272 its reverse (27205121403), we get a palindrome (57617271675).

The spelling of 30412150272 in words is "thirty billion, four hundred twelve million, one hundred fifty thousand, two hundred seventy-two".