221124734000 has 80 divisors (see below), whose sum is σ = 534928027296. Its totient is φ = 88408800000.

The previous prime is 221124733889. The next prime is 221124734003. The reversal of 221124734000 is 437421122.

221124734000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×221124734000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221124734003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477442 + ... + 4526558.

Almost surely, 2^221124734000 is an apocalyptic number.

221124734000 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 221124734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267464013648).

221124734000 is an abundant number, since it is smaller than the sum of its proper divisors (313803293296).

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

221124734000 is a wasteful number, since it uses less digits than its factorization.

221124734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51391 (or 51375 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 221124734000 in words is "two hundred twenty-one billion, one hundred twenty-four million, seven hundred thirty-four thousand".