221655556122 has 576 divisors, whose sum is σ = 637680242304. Its totient is φ = 50721914880.

The previous prime is 221655556049. The next prime is 221655556141.

It is a happy number.

221655556122 is nontrivially palindromic in base 10.

221655556122 is digitally balanced in base 2, because in such base 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 (42).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1961553538 + ... + 1961553650.

It is an arithmetic number, because the mean of its divisors is an integer number (1107083754).

Almost surely, 2^221655556122 is an apocalyptic number.

221655556122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221655556122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318840121152).

221655556122 is an abundant number, since it is smaller than the sum of its proper divisors (416024686182).

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

221655556122 is a wasteful number, since it uses less digits than its factorization.

221655556122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

It can be divided in two parts, 221655 and 556122, that added together give a palindrome (777777).

The spelling of 221655556122 in words is "two hundred twenty-one billion, six hundred fifty-five million, five hundred fifty-six thousand, one hundred twenty-two".