1201072320 has 336 divisors, whose sum is σ = 4930627680. Its totient is φ = 274434048.

The previous prime is 1201072307. The next prime is 1201072337. The reversal of 1201072320 is 232701021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201072293 and 1201072302.

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, 421942 + ... + 424778.

Almost surely, 2^1201072320 is an apocalyptic number.

1201072320 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 1201072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465313840).

1201072320 is an abundant number, since it is smaller than the sum of its proper divisors (3729555360).

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

1201072320 is a wasteful number, since it uses less digits than its factorization.

1201072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1201072320 is about 34656.4903012408. The cubic root of 1201072320 is about 1062.9750055113.

Adding to 1201072320 its reverse (232701021), we get a palindrome (1433773341).

The spelling of 1201072320 in words is "one billion, two hundred one million, seventy-two thousand, three hundred twenty".