12100916779776 has 432 divisors, whose sum is σ = 39807099101952. Its totient is φ = 3499519795200.

The previous prime is 12100916779729. The next prime is 12100916779807. The reversal of 12100916779776 is 67797761900121.

It is a super-2 number, since 2×12100916779776² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258206586 + ... + 258253446.

It is an arithmetic number, because the mean of its divisors is an integer number (92146062736).

Almost surely, 2^{12100916779776} is an apocalyptic number.

12100916779776 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 12100916779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903549550976).

12100916779776 is an abundant number, since it is smaller than the sum of its proper divisors (27706182322176).

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

12100916779776 is a wasteful number, since it uses less digits than its factorization.

12100916779776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47360 (or 47343 counting only the distinct ones).

The product of its (nonzero) digits is 14002632, while the sum is 63.

The spelling of 12100916779776 in words is "twelve trillion, one hundred billion, nine hundred sixteen million, seven hundred seventy-nine thousand, seven hundred seventy-six".