1011201220120 has 256 divisors, whose sum is σ = 2933701908480. Its totient is φ = 304888320000.

The previous prime is 1011201220111. The next prime is 1011201220199. The reversal of 1011201220120 is 210221021101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1011201220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20989660 + ... + 21037780.

It is an arithmetic number, because the mean of its divisors is an integer number (11459773080).

Almost surely, 2^{1011201220120} is an apocalyptic number.

1011201220120 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 1011201220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466850954240).

1011201220120 is an abundant number, since it is smaller than the sum of its proper divisors (1922500688360).

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

1011201220120 is a wasteful number, since it uses less digits than its factorization.

1011201220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48426 (or 48422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1011201220120 its reverse (210221021101), we get a palindrome (1221422241221).

It can be divided in two parts, 1011201 and 220120, that added together give a palindrome (1231321).

The spelling of 1011201220120 in words is "one trillion, eleven billion, two hundred one million, two hundred twenty thousand, one hundred twenty".