30514131200 has 216 divisors, whose sum is σ = 86545085760. Its totient is φ = 10434355200.

The previous prime is 30514131191. The next prime is 30514131227. The reversal of 30514131200 is 213141503.

It is a super-2 number, since 2×30514131200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24236171 + ... + 24237429.

Almost surely, 2^30514131200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30514131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43272542880).

30514131200 is an abundant number, since it is smaller than the sum of its proper divisors (56030954560).

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

30514131200 is a wasteful number, since it uses less digits than its factorization.

30514131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 30514131200 its reverse (213141503), we get a palindrome (30727272703).

The spelling of 30514131200 in words is "thirty billion, five hundred fourteen million, one hundred thirty-one thousand, two hundred".