211420412300 has 72 divisors (see below), whose sum is σ = 477773503872. Its totient is φ = 81115776000.

The previous prime is 211420412227. The next prime is 211420412387. The reversal of 211420412300 is 3214024112.

211420412300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48530 + ... + 652070.

Almost surely, 2^211420412300 is an apocalyptic number.

211420412300 is a gapful number since it is divisible by the number (20) 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 211420412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238886751936).

211420412300 is an abundant number, since it is smaller than the sum of its proper divisors (266353091572).

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

211420412300 is a wasteful number, since it uses less digits than its factorization.

211420412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603699 (or 603692 counting only the distinct ones).

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

Adding to 211420412300 its reverse (3214024112), we get a palindrome (214634436412).

The spelling of 211420412300 in words is "two hundred eleven billion, four hundred twenty million, four hundred twelve thousand, three hundred".