221729927122 has 64 divisors (see below), whose sum is σ = 386183116800. Its totient is φ = 94484839680.

The previous prime is 221729926993. The next prime is 221729927129.

221729927122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (221729927129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10049779 + ... + 10071817.

It is an arithmetic number, because the mean of its divisors is an integer number (6034111200).

Almost surely, 2^221729927122 is an apocalyptic number.

221729927122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221729927122 is a deficient number, since it is larger than the sum of its proper divisors (164453189678).

221729927122 is a wasteful number, since it uses less digits than its factorization.

221729927122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471.

The product of its digits is 254016, while the sum is 46.

The spelling of 221729927122 in words is "two hundred twenty-one billion, seven hundred twenty-nine million, nine hundred twenty-seven thousand, one hundred twenty-two".