1205510131220 has 48 divisors (see below), whose sum is σ = 2681511911568. Its totient is φ = 453665617920.

The previous prime is 1205510131183. The next prime is 1205510131229. The reversal of 1205510131220 is 221310155021.

It can be written as a sum of positive squares in 8 ways, for example, as 17728389904 + 1187781741316 = 133148^2 + 1089854^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205510131229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214754 + ... + 1567526.

It is an arithmetic number, because the mean of its divisors is an integer number (55864831491).

Almost surely, 2^{1205510131220} is an apocalyptic number.

1205510131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205510131220 is an abundant number, since it is smaller than the sum of its proper divisors (1476001780348).

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

1205510131220 is a wasteful number, since it uses less digits than its factorization.

1205510131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355420 (or 1355418 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 1205510131220 its reverse (221310155021), we get a palindrome (1426820286241).

The spelling of 1205510131220 in words is "one trillion, two hundred five billion, five hundred ten million, one hundred thirty-one thousand, two hundred twenty".