222133204131440 has 120 divisors (see below), whose sum is σ = 600911767310400. Its totient is φ = 76143207458304.

The previous prime is 222133204131413. The next prime is 222133204131481. The reversal of 222133204131440 is 44131402331222.

It is a happy number.

222133204131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222133204131397 and 222133204131406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11603609 + ... + 24060551.

It is an arithmetic number, because the mean of its divisors is an integer number (5007598060920).

Almost surely, 2^{222133204131440} is an apocalyptic number.

222133204131440 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 222133204131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300455883655200).

222133204131440 is an abundant number, since it is smaller than the sum of its proper divisors (378778563178960).

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

222133204131440 is a wasteful number, since it uses less digits than its factorization.

222133204131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12461519 (or 12461506 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 222133204131440 its reverse (44131402331222), we get a palindrome (266264606462662).

The spelling of 222133204131440 in words is "two hundred twenty-two trillion, one hundred thirty-three billion, two hundred four million, one hundred thirty-one thousand, four hundred forty".