30132300420200 has 144 divisors (see below), whose sum is σ = 77324999177580. Its totient is φ = 10911732480000.

The previous prime is 30132300420179. The next prime is 30132300420223. The reversal of 30132300420200 is 202400323103.

It can be written as a sum of positive squares in 6 ways, for example, as 8269063857604 + 21863236562596 = 2875598^2 + 4675814^2 .

It is a super-2 number, since 2×30132300420200² (a number of 28 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3248930 + ... + 8415470.

Almost surely, 2^{30132300420200} 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 30132300420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38662499588790).

30132300420200 is an abundant number, since it is smaller than the sum of its proper divisors (47192698757380).

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

30132300420200 is a wasteful number, since it uses less digits than its factorization.

30132300420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166820 (or 5166800 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30132300420200 its reverse (202400323103), we get a palindrome (30334700743303).

The spelling of 30132300420200 in words is "thirty trillion, one hundred thirty-two billion, three hundred million, four hundred twenty thousand, two hundred".