1201339135360 has 512 divisors, whose sum is σ = 3788234956800. Its totient is φ = 353829814272.

The previous prime is 1201339135327. The next prime is 1201339135369. The reversal of 1201339135360 is 635319331021.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201339135369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49550121 + ... + 49574359.

It is an arithmetic number, because the mean of its divisors is an integer number (7398896400).

Almost surely, 2^{1201339135360} is an apocalyptic number.

1201339135360 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 1201339135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894117478400).

1201339135360 is an abundant number, since it is smaller than the sum of its proper divisors (2586895821440).

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

1201339135360 is a wasteful number, since it uses less digits than its factorization.

1201339135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24338 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The spelling of 1201339135360 in words is "one trillion, two hundred one billion, three hundred thirty-nine million, one hundred thirty-five thousand, three hundred sixty".