221323131420400 has 120 divisors (see below), whose sum is σ = 540756498453840. Its totient is φ = 87026290759680.

The previous prime is 221323131420397. The next prime is 221323131420403. The reversal of 221323131420400 is 4024131323122.

It is an interprime number because it is at equal distance from previous prime (221323131420397) and next prime (221323131420403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221323131420403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988657282 + ... + 988881118.

It is an arithmetic number, because the mean of its divisors is an integer number (4506304153782).

Almost surely, 2^{221323131420400} is an apocalyptic number.

221323131420400 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 221323131420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270378249226920).

221323131420400 is an abundant number, since it is smaller than the sum of its proper divisors (319433367033440).

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

221323131420400 is a wasteful number, since it uses less digits than its factorization.

221323131420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265811 (or 265800 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 221323131420400 its reverse (4024131323122), we get a palindrome (225347262743522).

The spelling of 221323131420400 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, one hundred thirty-one million, four hundred twenty thousand, four hundred".