1201110121120 has 288 divisors, whose sum is σ = 3531150080640. Its totient is φ = 378020597760.

The previous prime is 1201110121093. The next prime is 1201110121147. The reversal of 1201110121120 is 211210111021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201110121093) and next prime (1201110121147).

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 1201110121120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34242151 + ... + 34277209.

It is an arithmetic number, because the mean of its divisors is an integer number (12260937780).

Almost surely, 2^{1201110121120} is an apocalyptic number.

1201110121120 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 1201110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765575040320).

1201110121120 is an abundant number, since it is smaller than the sum of its proper divisors (2330039959520).

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

1201110121120 is a wasteful number, since it uses less digits than its factorization.

1201110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35288 (or 35267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1201110121120 its reverse (211210111021), we get a palindrome (1412320232141).

The spelling of 1201110121120 in words is "one trillion, two hundred one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".