1201122111200 has 144 divisors (see below), whose sum is σ = 3266867407104. Its totient is φ = 427478515200.

The previous prime is 1201122111197. The next prime is 1201122111253. The reversal of 1201122111200 is 21112211021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038434 + ... + 1865633.

It is an arithmetic number, because the mean of its divisors is an integer number (22686579216).

Almost surely, 2^{1201122111200} is an apocalyptic number.

1201122111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201122111200 is an abundant number, since it is smaller than the sum of its proper divisors (2065745295904).

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

1201122111200 is a wasteful number, since it uses less digits than its factorization.

1201122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904145 (or 2904132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1201122111200 its reverse (21112211021), we get a palindrome (1222234322221).

The spelling of 1201122111200 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".