220040312333120 has 224 divisors, whose sum is σ = 554522105502720. Its totient is φ = 82996210851840.

The previous prime is 220040312333099. The next prime is 220040312333243. The reversal of 220040312333120 is 21333213040022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 220040312333120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379390550 + ... + 379970090.

Almost surely, 2^{220040312333120} is an apocalyptic number.

220040312333120 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 220040312333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277261052751360).

220040312333120 is an abundant number, since it is smaller than the sum of its proper divisors (334481793169600).

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

220040312333120 is a wasteful number, since it uses less digits than its factorization.

220040312333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580313 (or 580303 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 220040312333120 its reverse (21333213040022), we get a palindrome (241373525373142).

The spelling of 220040312333120 in words is "two hundred twenty trillion, forty billion, three hundred twelve million, three hundred thirty-three thousand, one hundred twenty".