30211144200200 has 96 divisors (see below), whose sum is σ = 70604571702720. Its totient is φ = 12021942240000.

The previous prime is 30211144200143. The next prime is 30211144200287. The reversal of 30211144200200 is 200244111203.

It is a super-3 number, since 3×30211144200200³ (a number of 41 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97369310 + ... + 97679090.

It is an arithmetic number, because the mean of its divisors is an integer number (735464288570).

Almost surely, 2^{30211144200200} 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 30211144200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35302285851360).

30211144200200 is an abundant number, since it is smaller than the sum of its proper divisors (40393427502520).

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

30211144200200 is a wasteful number, since it uses less digits than its factorization.

30211144200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312319 (or 312310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30211144200200 its reverse (200244111203), we get a palindrome (30411388311403).

The spelling of 30211144200200 in words is "thirty trillion, two hundred eleven billion, one hundred forty-four million, two hundred thousand, two hundred".