12132013410 has 256 divisors, whose sum is σ = 36993024000. Its totient is φ = 2802159360.

The previous prime is 12132013363. The next prime is 12132013423. The reversal of 12132013410 is 1431023121.

12132013410 is a `hidden beast` number, since 1 + 2 + 1 + 320 + 1 + 341 + 0 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6803379 + ... + 6805161.

It is an arithmetic number, because the mean of its divisors is an integer number (144504000).

Almost surely, 2^12132013410 is an apocalyptic number.

12132013410 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 12132013410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496512000).

12132013410 is an abundant number, since it is smaller than the sum of its proper divisors (24861010590).

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

12132013410 is a wasteful number, since it uses less digits than its factorization.

12132013410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132013410 its reverse (1431023121), we get a palindrome (13563036531).

The spelling of 12132013410 in words is "twelve billion, one hundred thirty-two million, thirteen thousand, four hundred ten".