221313121312000 has 72 divisors (see below), whose sum is σ = 551318649408072. Its totient is φ = 88525248512000.

The previous prime is 221313121311973. The next prime is 221313121312001. The reversal of 221313121312000 is 213121313122.

It can be written as a sum of positive squares in 4 ways, for example, as 35742031799296 + 185571089512704 = 5978464^2 + 13622448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313121312001) 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 7 ways as a sum of consecutive naturals, for example, 3457985521 + ... + 3458049520.

It is an arithmetic number, because the mean of its divisors is an integer number (7657203464001).

Almost surely, 2^{221313121312000} is an apocalyptic number.

221313121312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313121312000 is an abundant number, since it is smaller than the sum of its proper divisors (330005528096072).

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

221313121312000 is an frugal number, since it uses more digits than its factorization.

221313121312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916035072 (or 6916035048 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 221313121312000 its reverse (213121313122), we get a palindrome (221526242625122).

The spelling of 221313121312000 in words is "two hundred twenty-one trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred twelve thousand".