1211200121120 has 96 divisors (see below), whose sum is σ = 3125720114496. Its totient is φ = 439854105600.

The previous prime is 1211200121071. The next prime is 1211200121123. The reversal of 1211200121120 is 211210021121.

It is a super-2 number, since 2×1211200121120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211200121095 and 1211200121104.

It is not an unprimeable number, because it can be changed into a prime (1211200121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877775 + ... + 1786865.

It is an arithmetic number, because the mean of its divisors is an integer number (32559584526).

Almost surely, 2^{1211200121120} is an apocalyptic number.

1211200121120 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 1211200121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562860057248).

1211200121120 is an abundant number, since it is smaller than the sum of its proper divisors (1914519993376).

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

1211200121120 is a wasteful number, since it uses less digits than its factorization.

1211200121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909874 (or 909866 counting only the distinct ones).

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

Adding to 1211200121120 its reverse (211210021121), we get a palindrome (1422410142241).

Subtracting from 1211200121120 its reverse (211210021121), we obtain a palindrome (999990099999).

It can be divided in two parts, 12112001 and 21120, that added together give a palindrome (12133121).

The spelling of 1211200121120 in words is "one trillion, two hundred eleven billion, two hundred million, one hundred twenty-one thousand, one hundred twenty".