18121105408000 has 544 divisors, whose sum is σ = 52900675027200. Its totient is φ = 6067637452800.

The previous prime is 18121105407973. The next prime is 18121105408009. The reversal of 18121105408000 is 80450112181.

It is a super-2 number, since 2×18121105408000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18121105408009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2465788326 + ... + 2465795674.

Almost surely, 2^{18121105408000} is an apocalyptic number.

18121105408000 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 18121105408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450337513600).

18121105408000 is an abundant number, since it is smaller than the sum of its proper divisors (34779569619200).

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

18121105408000 is an frugal number, since it uses more digits than its factorization.

18121105408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

The spelling of 18121105408000 in words is "eighteen trillion, one hundred twenty-one billion, one hundred five million, four hundred eight thousand".