221312122113000 has 128 divisors (see below), whose sum is σ = 726835601232000. Its totient is φ = 55910430835200.

The previous prime is 221312122112999. The next prime is 221312122113037. The reversal of 221312122113000 is 311221213122.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1941277405 + ... + 1941391404.

It is an arithmetic number, because the mean of its divisors is an integer number (5678403134625).

Almost surely, 2^{221312122113000} is an apocalyptic number.

221312122113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312122113000 is an abundant number, since it is smaller than the sum of its proper divisors (505523479119000).

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

221312122113000 is a wasteful number, since it uses less digits than its factorization.

221312122113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882668852 (or 3882668838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221312122113000 its reverse (311221213122), we get a palindrome (221623343326122).

The spelling of 221312122113000 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred thirteen thousand".