1220131201122 has 96 divisors (see below), whose sum is σ = 2888498995200. Its totient is φ = 384946957008.

The previous prime is 1220131201049. The next prime is 1220131201153. The reversal of 1220131201122 is 2211021310221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1220131201095 and 1220131201104.

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 47 ways as a sum of consecutive naturals, for example, 9976579 + ... + 10098137.

It is an arithmetic number, because the mean of its divisors is an integer number (30088531200).

Almost surely, 2^{1220131201122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220131201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444249497600).

1220131201122 is an abundant number, since it is smaller than the sum of its proper divisors (1668367794078).

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

1220131201122 is a wasteful number, since it uses less digits than its factorization.

1220131201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122682 (or 122670 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1220131201122 its reverse (2211021310221), we get a palindrome (3431152511343).

The spelling of 1220131201122 in words is "one trillion, two hundred twenty billion, one hundred thirty-one million, two hundred one thousand, one hundred twenty-two".