120201121000 has 64 divisors (see below), whose sum is σ = 281432034000. Its totient is φ = 48052857600.

The previous prime is 120201120997. The next prime is 120201121013. The reversal of 120201121000 is 121102021.

It can be written as a sum of positive squares in 8 ways, for example, as 55868885956 + 64332235044 = 236366^2 + 253638^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755406 + ... + 1822594.

Almost surely, 2^120201121000 is an apocalyptic number.

120201121000 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 120201121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140716017000).

120201121000 is an abundant number, since it is smaller than the sum of its proper divisors (161230913000).

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

120201121000 is a wasteful number, since it uses less digits than its factorization.

120201121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68999 (or 68985 counting only the distinct ones).

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

Adding to 120201121000 its reverse (121102021), we get a palindrome (120322223021).

The spelling of 120201121000 in words is "one hundred twenty billion, two hundred one million, one hundred twenty-one thousand".