12235035040100 has 18 divisors (see below), whose sum is σ = 26550026037234. Its totient is φ = 4894014016000.

The previous prime is 12235035040079. The next prime is 12235035040117. The reversal of 12235035040100 is 104053053221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2695881583396 + 9539153456704 = 1641914^2 + 3088552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12235035040100.

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, 61175175101 + ... + 61175175300.

It is an arithmetic number, because the mean of its divisors is an integer number (1475001446513).

Almost surely, 2^{12235035040100} is an apocalyptic number.

12235035040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12235035040100 is an abundant number, since it is smaller than the sum of its proper divisors (14314990997134).

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

12235035040100 is a wasteful number, since it uses less digits than its factorization.

12235035040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122350350415 (or 122350350408 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 12235035040100 its reverse (104053053221), we get a palindrome (12339088093321).

The spelling of 12235035040100 in words is "twelve trillion, two hundred thirty-five billion, thirty-five million, forty thousand, one hundred".