12022901280000 has 1620 divisors, whose sum is σ = 48496208548788. Its totient is φ = 2956124160000.

The previous prime is 12022901279989. The next prime is 12022901280041. The reversal of 12022901280000 is 8210922021.

It can be written as a sum of positive squares in 10 ways, for example, as 11821824370944 + 201076909056 = 3438288^2 + 448416^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 13646879560 + ... + 13646880440.

Almost surely, 2^{12022901280000} is an apocalyptic number.

12022901280000 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 12022901280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24248104274394).

12022901280000 is an abundant number, since it is smaller than the sum of its proper divisors (36473307268788).

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

12022901280000 is an frugal number, since it uses more digits than its factorization.

12022901280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12022901280000 in words is "twelve trillion, twenty-two billion, nine hundred one million, two hundred eighty thousand".