30101223133200 has 120 divisors (see below), whose sum is σ = 97782339761856. Its totient is φ = 7913936576000.

The previous prime is 30101223133183. The next prime is 30101223133207. The reversal of 30101223133200 is 233132210103.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×30101223133200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30101223133207) by changing a digit.

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, 176565171 + ... + 176735570.

Almost surely, 2^{30101223133200} is an apocalyptic number.

30101223133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30101223133200 is an abundant number, since it is smaller than the sum of its proper divisors (67681116628656).

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

30101223133200 is a wasteful number, since it uses less digits than its factorization.

30101223133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353300833 (or 353300822 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30101223133200 its reverse (233132210103), we get a palindrome (30334355343303).

The spelling of 30101223133200 in words is "thirty trillion, one hundred one billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred".