221729820108000 has 1152 divisors, whose sum is σ = 781049773131264. Its totient is φ = 54970223616000.

The previous prime is 221729820107933. The next prime is 221729820108007. The reversal of 221729820108000 is 801028927122.

It is a super-2 number, since 2×221729820108000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221729820108007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66725794339 + ... + 66725797661.

It is an arithmetic number, because the mean of its divisors is an integer number (677994594732).

Almost surely, 2^{221729820108000} is an apocalyptic number.

221729820108000 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 221729820108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390524886565632).

221729820108000 is an abundant number, since it is smaller than the sum of its proper divisors (559319953023264).

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

221729820108000 is a wasteful number, since it uses less digits than its factorization.

221729820108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 221729820108000 in words is "two hundred twenty-one trillion, seven hundred twenty-nine billion, eight hundred twenty million, one hundred eight thousand".