132305121000 has 192 divisors, whose sum is σ = 481591066320. Its totient is φ = 32567385600.

The previous prime is 132305120957. The next prime is 132305121019. The reversal of 132305121000 is 121503231.

It can be written as a sum of positive squares in 8 ways, for example, as 9856915524 + 122448205476 = 99282^2 + 349926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448407 + ... + 682406.

Almost surely, 2^132305121000 is an apocalyptic number.

132305121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132305121000 is an abundant number, since it is smaller than the sum of its proper divisors (349285945320).

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

132305121000 is a wasteful number, since it uses less digits than its factorization.

132305121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130853 (or 1130836 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 132305121000 its reverse (121503231), we get a palindrome (132426624231).

The spelling of 132305121000 in words is "one hundred thirty-two billion, three hundred five million, one hundred twenty-one thousand".