1201122120 has 128 divisors (see below), whose sum is σ = 4037351040. Its totient is φ = 283299840.

The previous prime is 1201122089. The next prime is 1201122211. The reversal of 1201122120 is 212211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1201122096 and 1201122105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36544 + ... + 61136.

It is an arithmetic number, because the mean of its divisors is an integer number (31541805).

Almost surely, 2^1201122120 is an apocalyptic number.

1201122120 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 1201122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018675520).

1201122120 is an abundant number, since it is smaller than the sum of its proper divisors (2836228920).

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

1201122120 is a wasteful number, since it uses less digits than its factorization.

1201122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24655 (or 24651 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1201122120 is about 34657.2087739333. The cubic root of 1201122120 is about 1062.9896966676.

Adding to 1201122120 its reverse (212211021), we get a palindrome (1413333141).

It can be divided in two parts, 1201 and 122120, that added together give a palindrome (123321).

The spelling of 1201122120 in words is "one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".