12073795017900 has 1152 divisors, whose sum is σ = 45498207928320. Its totient is φ = 2419900876800.

The previous prime is 12073795017839. The next prime is 12073795017917. The reversal of 12073795017900 is 971059737021.

It is a super-2 number, since 2×12073795017900² (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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9589987471 + ... + 9589988729.

It is an arithmetic number, because the mean of its divisors is an integer number (39494972160).

Almost surely, 2^{12073795017900} is an apocalyptic number.

12073795017900 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 12073795017900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22749103964160).

12073795017900 is an abundant number, since it is smaller than the sum of its proper divisors (33424412910420).

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

12073795017900 is a wasteful number, since it uses less digits than its factorization.

12073795017900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 51.

The spelling of 12073795017900 in words is "twelve trillion, seventy-three billion, seven hundred ninety-five million, seventeen thousand, nine hundred".