30314124031200 has 144 divisors (see below), whose sum is σ = 98674974147456. Its totient is φ = 8083561561600.

The previous prime is 30314124031199. The next prime is 30314124031223. The reversal of 30314124031200 is 213042141303.

It is a happy number.

It is a super-2 number, since 2×30314124031200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110510215 + ... + 110784185.

It is an arithmetic number, because the mean of its divisors is an integer number (685242876024).

Almost surely, 2^{30314124031200} is an apocalyptic number.

30314124031200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30314124031200 is an abundant number, since it is smaller than the sum of its proper divisors (68360850116256).

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

30314124031200 is a wasteful number, since it uses less digits than its factorization.

30314124031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320097 (or 320084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30314124031200 its reverse (213042141303), we get a palindrome (30527166172503).

The spelling of 30314124031200 in words is "thirty trillion, three hundred fourteen billion, one hundred twenty-four million, thirty-one thousand, two hundred".