30134851200 has 960 divisors, whose sum is σ = 121667436000. Its totient is φ = 7315660800.

The previous prime is 30134851177. The next prime is 30134851207. The reversal of 30134851200 is 215843103.

It is a happy number.

30134851200 is a `hidden beast` number, since 301 + 348 + 5 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×30134851200² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30134851207) 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 119 ways as a sum of consecutive naturals, for example, 142819095 + ... + 142819305.

Almost surely, 2^30134851200 is an apocalyptic number.

30134851200 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 30134851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60833718000).

30134851200 is an abundant number, since it is smaller than the sum of its proper divisors (91532584800).

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

30134851200 is a wasteful number, since it uses less digits than its factorization.

30134851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 30134851200 in words is "thirty billion, one hundred thirty-four million, eight hundred fifty-one thousand, two hundred".