120020001012000 has 288 divisors, whose sum is σ = 425984143843440. Its totient is φ = 32002842009600.

The previous prime is 120020001011987. The next prime is 120020001012083. The reversal of 120020001012000 is 210100020021.

120020001012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7432537207824 + 112587463804176 = 2726268^2 + 10610724^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487785006 + ... + 488030994.

Almost surely, 2^{120020001012000} is an apocalyptic number.

120020001012000 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 120020001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212992071921720).

120020001012000 is an abundant number, since it is smaller than the sum of its proper divisors (305964142831440).

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

120020001012000 is a wasteful number, since it uses less digits than its factorization.

120020001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259573 (or 259552 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020001012000 its reverse (210100020021), we get a palindrome (120230101032021).

The spelling of 120020001012000 in words is "one hundred twenty trillion, twenty billion, one million, twelve thousand".