1205606516220 has 72 divisors (see below), whose sum is σ = 3664454779440. Its totient is φ = 320840271360.

The previous prime is 1205606516207. The next prime is 1205606516287. The reversal of 1205606516220 is 226156065021.

1205606516220 is a `hidden beast` number, since 1 + 2 + 0 + 560 + 65 + 16 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6732205 + ... + 6908964.

It is an arithmetic number, because the mean of its divisors is an integer number (50895205270).

Almost surely, 2^{1205606516220} is an apocalyptic number.

1205606516220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205606516220 is an abundant number, since it is smaller than the sum of its proper divisors (2458848263220).

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

1205606516220 is a wasteful number, since it uses less digits than its factorization.

1205606516220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13641675 (or 13641670 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1205606516220 in words is "one trillion, two hundred five billion, six hundred six million, five hundred sixteen thousand, two hundred twenty".