1201143312320 has 224 divisors, whose sum is σ = 3468387962880. Its totient is φ = 386780774400.

The previous prime is 1201143312283. The next prime is 1201143312323. The reversal of 1201143312320 is 232133411021.

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

It is a super-2 number, since 2×1201143312320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201143312323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18207395 + ... + 18273245.

Almost surely, 2^{1201143312320} is an apocalyptic number.

1201143312320 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 1201143312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734193981440).

1201143312320 is an abundant number, since it is smaller than the sum of its proper divisors (2267244650560).

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

1201143312320 is a wasteful number, since it uses less digits than its factorization.

1201143312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66371 (or 66361 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1201143312320 its reverse (232133411021), we get a palindrome (1433276723341).

The spelling of 1201143312320 in words is "one trillion, two hundred one billion, one hundred forty-three million, three hundred twelve thousand, three hundred twenty".