120001120200 has 216 divisors, whose sum is σ = 436389795270. Its totient is φ = 29538662400.

The previous prime is 120001120199. The next prime is 120001120237. The reversal of 120001120200 is 2021100021.

It can be written as a sum of positive squares in 9 ways, for example, as 2367211716 + 117633908484 = 48654^2 + 342978^2 .

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 53 ways as a sum of consecutive naturals, for example, 106960 + ... + 501440.

Almost surely, 2^120001120200 is an apocalyptic number.

120001120200 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 120001120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218194897635).

120001120200 is an abundant number, since it is smaller than the sum of its proper divisors (316388675070).

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

120001120200 is a wasteful number, since it uses less digits than its factorization.

120001120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394529 (or 394504 counting only the distinct ones).

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

Adding to 120001120200 its reverse (2021100021), we get a palindrome (122022220221).

The spelling of 120001120200 in words is "one hundred twenty billion, one million, one hundred twenty thousand, two hundred".