413120022110120 has 32 divisors (see below), whose sum is σ = 1001021592037320. Its totient is φ = 152536623548160.

The previous prime is 413120022110119. The next prime is 413120022110129. The reversal of 413120022110120 is 21011220021314.

It can be written as a sum of positive squares in 4 ways, for example, as 340059342727204 + 73060679382916 = 18440698^2 + 8547554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413120022110092 and 413120022110101.

It is not an unprimeable number, because it can be changed into a prime (413120022110129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397230789971 + ... + 397230791010.

Almost surely, 2^{413120022110120} is an apocalyptic number.

413120022110120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413120022110120 is an abundant number, since it is smaller than the sum of its proper divisors (587901569927200).

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

413120022110120 is a wasteful number, since it uses less digits than its factorization.

413120022110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794461581005 (or 794461581001 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 413120022110120 its reverse (21011220021314), we get a palindrome (434131242131434).

The spelling of 413120022110120 in words is "four hundred thirteen trillion, one hundred twenty billion, twenty-two million, one hundred ten thousand, one hundred twenty".