120201002000000 has 224 divisors, whose sum is σ = 299724020124060. Its totient is φ = 48016281600000.

The previous prime is 120201001999963. The next prime is 120201002000017. The reversal of 120201002000000 is 200102021.

It can be written as a sum of positive squares in 14 ways, for example, as 92778352151104 + 27422649848896 = 9632152^2 + 5236664^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1513960304 + ... + 1514039696.

Almost surely, 2^{120201002000000} is an apocalyptic number.

120201002000000 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 120201002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149862010062030).

120201002000000 is an abundant number, since it is smaller than the sum of its proper divisors (179523018124060).

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

120201002000000 is an frugal number, since it uses more digits than its factorization.

120201002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80194 (or 80157 counting only the distinct ones).

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

Adding to 120201002000000 its reverse (200102021), we get a palindrome (120201202102021).

The spelling of 120201002000000 in words is "one hundred twenty trillion, two hundred one billion, two million", and thus it is an aban number.