130122400410 has 384 divisors, whose sum is σ = 379551744000. Its totient is φ = 30780642816.

The previous prime is 130122400379. The next prime is 130122400411. The reversal of 130122400410 is 14004221031.

130122400410 is a `hidden beast` number, since 1 + 3 + 0 + 12 + 240 + 0 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130122400411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 544445071 + ... + 544445309.

It is an arithmetic number, because the mean of its divisors is an integer number (988416000).

Almost surely, 2^130122400410 is an apocalyptic number.

130122400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130122400410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189775872000).

130122400410 is an abundant number, since it is smaller than the sum of its proper divisors (249429343590).

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

130122400410 is a wasteful number, since it uses less digits than its factorization.

130122400410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130122400410 its reverse (14004221031), we get a palindrome (144126621441).

The spelling of 130122400410 in words is "one hundred thirty billion, one hundred twenty-two million, four hundred thousand, four hundred ten".