12345350032100 has 18 divisors (see below), whose sum is σ = 26789409569874. Its totient is φ = 4938140012800.

The previous prime is 12345350032051. The next prime is 12345350032159. The reversal of 12345350032100 is 123005354321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9140889664 + 12336209142436 = 95608^2 + 3512294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61726750061 + ... + 61726750260.

Almost surely, 2^{12345350032100} is an apocalyptic number.

12345350032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12345350032100 is an abundant number, since it is smaller than the sum of its proper divisors (14444059537774).

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

12345350032100 is a wasteful number, since it uses less digits than its factorization.

12345350032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123453500335 (or 123453500328 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 12345350032100 its reverse (123005354321), we get a palindrome (12468355386421).

The spelling of 12345350032100 in words is "twelve trillion, three hundred forty-five billion, three hundred fifty million, thirty-two thousand, one hundred".