30134122200 has 480 divisors, whose sum is σ = 128818942560. Its totient is φ = 6357657600.

The previous prime is 30134122163. The next prime is 30134122201. The reversal of 30134122200 is 222143103.

30134122200 is a `hidden beast` number, since 30 + 1 + 3 + 412 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30134122201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1463980 + ... + 1484420.

It is an arithmetic number, because the mean of its divisors is an integer number (268372797).

Almost surely, 2^30134122200 is an apocalyptic number.

30134122200 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 30134122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64409471280).

30134122200 is an abundant number, since it is smaller than the sum of its proper divisors (98684820360).

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

30134122200 is a wasteful number, since it uses less digits than its factorization.

30134122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20489 (or 20471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30134122200 its reverse (222143103), we get a palindrome (30356265303).

The spelling of 30134122200 in words is "thirty billion, one hundred thirty-four million, one hundred twenty-two thousand, two hundred".