1220515005330 has 192 divisors, whose sum is σ = 3231739779840. Its totient is φ = 319546944000.

The previous prime is 1220515005319. The next prime is 1220515005361. The reversal of 1220515005330 is 335005150221.

It is a happy number.

1220515005330 is a `hidden beast` number, since 12 + 20 + 51 + 50 + 0 + 533 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1220515005294 and 1220515005303.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 801387949 + ... + 801389471.

It is an arithmetic number, because the mean of its divisors is an integer number (16831978020).

Almost surely, 2^{1220515005330} is an apocalyptic number.

1220515005330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220515005330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615869889920).

1220515005330 is an abundant number, since it is smaller than the sum of its proper divisors (2011224774510).

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

1220515005330 is a wasteful number, since it uses less digits than its factorization.

1220515005330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 1220515005330 in words is "one trillion, two hundred twenty billion, five hundred fifteen million, five thousand, three hundred thirty".