12135101196416 has 128 divisors (see below), whose sum is σ = 26713782374400. Its totient is φ = 5444749440000.

The previous prime is 12135101196377. The next prime is 12135101196457. The reversal of 12135101196416 is 61469110153121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12135101196416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528451751 + ... + 528474713.

It is an arithmetic number, because the mean of its divisors is an integer number (208701424800).

Almost surely, 2^{12135101196416} is an apocalyptic number.

12135101196416 is a gapful number since it is divisible by the number (16) 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 12135101196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356891187200).

12135101196416 is an abundant number, since it is smaller than the sum of its proper divisors (14578681177984).

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

12135101196416 is a wasteful number, since it uses less digits than its factorization.

12135101196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27818 (or 27806 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 12135101196416 in words is "twelve trillion, one hundred thirty-five billion, one hundred one million, one hundred ninety-six thousand, four hundred sixteen".