2235124125200 has 120 divisors (see below), whose sum is σ = 5382135515328. Its totient is φ = 892012746240.

The previous prime is 2235124125181. The next prime is 2235124125203. The reversal of 2235124125200 is 25214215322.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2235124125203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357788477 + ... + 357794723.

Almost surely, 2^{2235124125200} is an apocalyptic number.

2235124125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235124125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691067757664).

2235124125200 is an abundant number, since it is smaller than the sum of its proper divisors (3147011390128).

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

2235124125200 is a wasteful number, since it uses less digits than its factorization.

2235124125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 2235124125200 in words is "two trillion, two hundred thirty-five billion, one hundred twenty-four million, one hundred twenty-five thousand, two hundred".