12732341772100 has 18 divisors (see below), whose sum is σ = 27629181645674. Its totient is φ = 5092936708800.

The previous prime is 12732341772091. The next prime is 12732341772109. The reversal of 12732341772100 is 127714323721.

It is an interprime number because it is at equal distance from previous prime (12732341772091) and next prime (12732341772109).

It can be written as a sum of positive squares in 3 ways, for example, as 1457776123456 + 11274565648644 = 1207384^2 + 3357762^2 .

It is a super-2 number, since 2×12732341772100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12732341772109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63661708761 + ... + 63661708960.

Almost surely, 2^{12732341772100} is an apocalyptic number.

12732341772100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12732341772100 is an abundant number, since it is smaller than the sum of its proper divisors (14896839873574).

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

12732341772100 is a wasteful number, since it uses less digits than its factorization.

12732341772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127323417735 (or 127323417728 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 12732341772100 in words is "twelve trillion, seven hundred thirty-two billion, three hundred forty-one million, seven hundred seventy-two thousand, one hundred".