120101122020000 has 960 divisors, whose sum is σ = 440519368278528. Its totient is φ = 28395840000000.

The previous prime is 120101122019909. The next prime is 120101122020013. The reversal of 120101122020000 is 20221101021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 4466206555 + ... + 4466233445.

Almost surely, 2^{120101122020000} is an apocalyptic number.

120101122020000 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 120101122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220259684139264).

120101122020000 is an abundant number, since it is smaller than the sum of its proper divisors (320418246258528).

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

120101122020000 is a wasteful number, since it uses less digits than its factorization.

120101122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27103 (or 27080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120101122020000 its reverse (20221101021), we get a palindrome (120121343121021).

The spelling of 120101122020000 in words is "one hundred twenty trillion, one hundred one billion, one hundred twenty-two million, twenty thousand".