12101312400012 has 192 divisors, whose sum is σ = 36617914636800. Its totient is φ = 3417108768000.

The previous prime is 12101312399933. The next prime is 12101312400101. The reversal of 12101312400012 is 21000421310121.

12101312400012 is a `hidden beast` number, since 121 + 0 + 131 + 2 + 400 + 0 + 12 = 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 63 ways as a sum of consecutive naturals, for example, 3017539 + ... + 5771322.

It is an arithmetic number, because the mean of its divisors is an integer number (190718305400).

Almost surely, 2^{12101312400012} is an apocalyptic number.

12101312400012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101312400012 is an abundant number, since it is smaller than the sum of its proper divisors (24516602236788).

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

12101312400012 is a wasteful number, since it uses less digits than its factorization.

12101312400012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788965 (or 8788957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12101312400012 its reverse (21000421310121), we get a palindrome (33101733710133).

The spelling of 12101312400012 in words is "twelve trillion, one hundred one billion, three hundred twelve million, four hundred thousand, twelve".