130434014400120 has 96 divisors (see below), whose sum is σ = 448846461339120. Its totient is φ = 32736380083200.

The previous prime is 130434014400037. The next prime is 130434014400187. The reversal of 130434014400120 is 21004410434031.

130434014400120 is a `hidden beast` number, since 1 + 304 + 340 + 1 + 4 + 4 + 0 + 0 + 12 + 0 = 666.

It is a super-2 number, since 2×130434014400120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10656367606 + ... + 10656379845.

Almost surely, 2^{130434014400120} is an apocalyptic number.

130434014400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434014400120 is an abundant number, since it is smaller than the sum of its proper divisors (318412446939000).

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

130434014400120 is a wasteful number, since it uses less digits than its factorization.

130434014400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21312747485 (or 21312747478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130434014400120 its reverse (21004410434031), we get a palindrome (151438424834151).

The spelling of 130434014400120 in words is "one hundred thirty trillion, four hundred thirty-four billion, fourteen million, four hundred thousand, one hundred twenty".