1201607120 has 160 divisors (see below), whose sum is σ = 3470254080. Its totient is φ = 377602560.

The previous prime is 1201607117. The next prime is 1201607137. The reversal of 1201607120 is 217061021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1201607092 and 1201607101.

It is a congruent number.

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, 328019 + ... + 331661.

It is an arithmetic number, because the mean of its divisors is an integer number (21689088).

Almost surely, 2^1201607120 is an apocalyptic number.

1201607120 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 1201607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735127040).

1201607120 is an abundant number, since it is smaller than the sum of its proper divisors (2268646960).

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

1201607120 is a wasteful number, since it uses less digits than its factorization.

1201607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1201607120 is about 34664.2051690213. The cubic root of 1201607120 is about 1063.1327519598.

Adding to 1201607120 its reverse (217061021), we get a palindrome (1418668141).

The spelling of 1201607120 in words is "one billion, two hundred one million, six hundred seven thousand, one hundred twenty".