221022112311000 has 6144 divisors, whose sum is σ = 1088173469859840. Its totient is φ = 38971570176000.

The previous prime is 221022112310983. The next prime is 221022112311089. The reversal of 221022112311000 is 113211220122.

221022112311000 is a `hidden beast` number, since 2 + 210 + 2 + 211 + 231 + 10 + 0 + 0 = 666.

221022112311000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 973665692887 + ... + 973665693113.

It is an arithmetic number, because the mean of its divisors is an integer number (177111567360).

Almost surely, 2^{221022112311000} is an apocalyptic number.

221022112311000 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 221022112311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544086734929920).

221022112311000 is an abundant number, since it is smaller than the sum of its proper divisors (867151357548840).

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

221022112311000 is a wasteful number, since it uses less digits than its factorization.

221022112311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221022112311000 its reverse (113211220122), we get a palindrome (221135323531122).

The spelling of 221022112311000 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twelve million, three hundred eleven thousand".