12010100122000 has 320 divisors, whose sum is σ = 29993760276480. Its totient is φ = 4648577472000.

The previous prime is 12010100121989. The next prime is 12010100122057. The reversal of 12010100122000 is 22100101021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8164581265 + ... + 8164582735.

It is an arithmetic number, because the mean of its divisors is an integer number (93730500864).

Almost surely, 2^{12010100122000} is an apocalyptic number.

12010100122000 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 12010100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996880138240).

12010100122000 is an abundant number, since it is smaller than the sum of its proper divisors (17983660154480).

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

12010100122000 is a wasteful number, since it uses less digits than its factorization.

12010100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010100122000 its reverse (22100101021), we get a palindrome (12032200223021).

The spelling of 12010100122000 in words is "twelve trillion, ten billion, one hundred million, one hundred twenty-two thousand".