221432323234122 has 1296 divisors, whose sum is σ = 684775585199160. Its totient is φ = 51462590699520.

The previous prime is 221432323234097. The next prime is 221432323234123.

221432323234122 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 2 + 3 + 232 + 3 + 412 + 2 = 666.

221432323234122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 7154282213001 + 214278041021121 = 2674749^2 + 14638239^2 .

It is a super-2 number, since 2×221432323234122² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221432323234123) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 259592406648 + ... + 259592407500.

Almost surely, 2^{221432323234122} is an apocalyptic number.

221432323234122 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 221432323234122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342387792599580).

221432323234122 is an abundant number, since it is smaller than the sum of its proper divisors (463343261965038).

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

221432323234122 is a wasteful number, since it uses less digits than its factorization.

221432323234122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1315 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 221432323234122 in words is "two hundred twenty-one trillion, four hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-four thousand, one hundred twenty-two".