221232301311000 has 512 divisors, whose sum is σ = 836554051307520. Its totient is φ = 47518765056000.

The previous prime is 221232301310981. The next prime is 221232301311023. The reversal of 221232301311000 is 113103232122.

It is a super-2 number, since 2×221232301311000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229069120 + ... + 230032880.

It is an arithmetic number, because the mean of its divisors is an integer number (1633894631460).

Almost surely, 2^{221232301311000} is an apocalyptic number.

221232301311000 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 221232301311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418277025653760).

221232301311000 is an abundant number, since it is smaller than the sum of its proper divisors (615321749996520).

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

221232301311000 is a wasteful number, since it uses less digits than its factorization.

221232301311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964452 (or 964438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221232301311000 its reverse (113103232122), we get a palindrome (221345404543122).

The spelling of 221232301311000 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, three hundred one million, three hundred eleven thousand".