221121300312 has 48 divisors (see below), whose sum is σ = 653312935080. Its totient is φ = 67006454400.

The previous prime is 221121300269. The next prime is 221121300319. The reversal of 221121300312 is 213003121122.

221121300312 is a `hidden beast` number, since 22 + 11 + 21 + 300 + 312 = 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 (221121300319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139595989 + ... + 139597572.

Almost surely, 2^221121300312 is an apocalyptic number.

221121300312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221121300312 is an abundant number, since it is smaller than the sum of its proper divisors (432191634768).

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

221121300312 is a wasteful number, since it uses less digits than its factorization.

221121300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279193584 (or 279193577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221121300312 its reverse (213003121122), we get a palindrome (434124421434).

The spelling of 221121300312 in words is "two hundred twenty-one billion, one hundred twenty-one million, three hundred thousand, three hundred twelve".