1201005120 has 224 divisors, whose sum is σ = 4614720768. Its totient is φ = 258342912.

The previous prime is 1201005077. The next prime is 1201005133. The reversal of 1201005120 is 215001021.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 1201005096 and 1201005105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108984 + ... + 119496.

It is an arithmetic number, because the mean of its divisors is an integer number (20601432).

Almost surely, 2^1201005120 is an apocalyptic number.

1201005120 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 1201005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307360384).

1201005120 is an abundant number, since it is smaller than the sum of its proper divisors (3413715648).

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

1201005120 is a wasteful number, since it uses less digits than its factorization.

1201005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1201005120 is about 34655.5207723099. The cubic root of 1201005120 is about 1062.9551806566.

Adding to 1201005120 its reverse (215001021), we get a palindrome (1416006141).

The spelling of 1201005120 in words is "one billion, two hundred one million, five thousand, one hundred twenty".