221312451132 has 144 divisors (see below), whose sum is σ = 596889925632. Its totient is φ = 68978891520.

The previous prime is 221312451121. The next prime is 221312451161. The reversal of 221312451132 is 231154213122.

It is a happy number.

221312451132 is a `hidden beast` number, since 2 + 21 + 3 + 124 + 511 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221312451096 and 221312451105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37628832 + ... + 37634712.

It is an arithmetic number, because the mean of its divisors is an integer number (4145068928).

Almost surely, 2^221312451132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221312451132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298444962816).

221312451132 is an abundant number, since it is smaller than the sum of its proper divisors (375577474500).

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

221312451132 is a wasteful number, since it uses less digits than its factorization.

221312451132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6923 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 221312451132 its reverse (231154213122), we get a palindrome (452466664254).

The spelling of 221312451132 in words is "two hundred twenty-one billion, three hundred twelve million, four hundred fifty-one thousand, one hundred thirty-two".