1201520320 has 448 divisors, whose sum is σ = 3998195712. Its totient is φ = 334540800.

The previous prime is 1201520317. The next prime is 1201520357. The reversal of 1201520320 is 230251021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1201520294 and 1201520303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38758705 + ... + 38758735.

It is an arithmetic number, because the mean of its divisors is an integer number (8924544).

Almost surely, 2^1201520320 is an apocalyptic number.

1201520320 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 1201520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999097856).

1201520320 is an abundant number, since it is smaller than the sum of its proper divisors (2796675392).

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

1201520320 is a wasteful number, since it uses less digits than its factorization.

1201520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1201520320 is about 34662.9531344345. The cubic root of 1201520320 is about 1063.1071523154.

Adding to 1201520320 its reverse (230251021), we get a palindrome (1431771341).

The spelling of 1201520320 in words is "one billion, two hundred one million, five hundred twenty thousand, three hundred twenty".