314240121432100 has 144 divisors (see below), whose sum is σ = 693025185927760. Its totient is φ = 123654524313600.

The previous prime is 314240121432067. The next prime is 314240121432203. The reversal of 314240121432100 is 1234121042413.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 288995104020736 + 25245017411364 = 16999856^2 + 5024442^2 .

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, 24380482456 + ... + 24380495344.

Almost surely, 2^{314240121432100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314240121432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346512592963880).

314240121432100 is an abundant number, since it is smaller than the sum of its proper divisors (378785064495660).

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

314240121432100 is a wasteful number, since it uses less digits than its factorization.

314240121432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21330 (or 21323 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314240121432100 its reverse (1234121042413), we get a palindrome (315474242474513).

The spelling of 314240121432100 in words is "three hundred fourteen trillion, two hundred forty billion, one hundred twenty-one million, four hundred thirty-two thousand, one hundred".