1011220220120 has 128 divisors (see below), whose sum is σ = 2653608522240. Its totient is φ = 342725744640.

The previous prime is 1011220220117. The next prime is 1011220220147. The reversal of 1011220220120 is 210220221101.

It is a junction number, because it is equal to n+sod(n) for n = 1011220220095 and 1011220220104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114179 + ... + 1426701.

It is an arithmetic number, because the mean of its divisors is an integer number (20731316580).

Almost surely, 2^{1011220220120} is an apocalyptic number.

1011220220120 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 1011220220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326804261120).

1011220220120 is an abundant number, since it is smaller than the sum of its proper divisors (1642388302120).

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

1011220220120 is a wasteful number, since it uses less digits than its factorization.

1011220220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312665 (or 1312661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1011220220120 its reverse (210220221101), we get a palindrome (1221440441221).

It can be divided in two parts, 101 and 1220220120, that added together give a palindrome (1220220221).

The spelling of 1011220220120 in words is "one trillion, eleven billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty".