12061973726400 has 1008 divisors, whose sum is σ = 43637994739584. Its totient is φ = 2915014901760.

The previous prime is 12061973726393. The next prime is 12061973726419. The reversal of 12061973726400 is 462737916021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12061973726400.

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 143 ways as a sum of consecutive naturals, for example, 20548506907 + ... + 20548507493.

It is an arithmetic number, because the mean of its divisors is an integer number (43291661448).

Almost surely, 2^{12061973726400} is an apocalyptic number.

12061973726400 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 12061973726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818997369792).

12061973726400 is an abundant number, since it is smaller than the sum of its proper divisors (31576021013184).

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

12061973726400 is a wasteful number, since it uses less digits than its factorization.

12061973726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 12061973726400 in words is "twelve trillion, sixty-one billion, nine hundred seventy-three million, seven hundred twenty-six thousand, four hundred".