12101229778560 has 512 divisors, whose sum is σ = 42117546240000. Its totient is φ = 2937622118400.

The previous prime is 12101229778511. The next prime is 12101229778571. The reversal of 12101229778560 is 6587792210121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523873891 + ... + 523896989.

It is an arithmetic number, because the mean of its divisors is an integer number (82260832500).

Almost surely, 2^{12101229778560} is an apocalyptic number.

12101229778560 is a gapful number since it is divisible by the number (10) 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 12101229778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058773120000).

12101229778560 is an abundant number, since it is smaller than the sum of its proper divisors (30016316461440).

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

12101229778560 is a wasteful number, since it uses less digits than its factorization.

12101229778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23424 (or 23412 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 12101229778560 in words is "twelve trillion, one hundred one billion, two hundred twenty-nine million, seven hundred seventy-eight thousand, five hundred sixty".