1201120101200 has 60 divisors (see below), whose sum is σ = 3055437592380. Its totient is φ = 452186388480.

The previous prime is 1201120101191. The next prime is 1201120101239. The reversal of 1201120101200 is 21010211021.

It can be written as a sum of positive squares in 6 ways, for example, as 84446035216 + 1116674065984 = 290596^2 + 1056728^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88310855 + ... + 88324454.

It is an arithmetic number, because the mean of its divisors is an integer number (50923959873).

Almost surely, 2^{1201120101200} is an apocalyptic number.

1201120101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201120101200 is an abundant number, since it is smaller than the sum of its proper divisors (1854317491180).

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

1201120101200 is a wasteful number, since it uses less digits than its factorization.

1201120101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176635344 (or 176635333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1201120101200 its reverse (21010211021), we get a palindrome (1222130312221).

The spelling of 1201120101200 in words is "one trillion, two hundred one billion, one hundred twenty million, one hundred one thousand, two hundred".