130440010402120 has 128 divisors (see below), whose sum is σ = 313519495523040. Its totient is φ = 48669875896320.

The previous prime is 130440010402003. The next prime is 130440010402123. The reversal of 130440010402120 is 21204010044031.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 368859446244 + 130071150955876 = 607338^2 + 11404874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130440010402091 and 130440010402100.

It is not an unprimeable number, because it can be changed into a prime (130440010402123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826228964 + ... + 2826275116.

Almost surely, 2^{130440010402120} is an apocalyptic number.

130440010402120 is a gapful number since it is divisible by the number (10) 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 130440010402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156759747761520).

130440010402120 is an abundant number, since it is smaller than the sum of its proper divisors (183079485120920).

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

130440010402120 is a wasteful number, since it uses less digits than its factorization.

130440010402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83075 (or 83071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 130440010402120 its reverse (21204010044031), we get a palindrome (151644020446151).

The spelling of 130440010402120 in words is "one hundred thirty trillion, four hundred forty billion, ten million, four hundred two thousand, one hundred twenty".