1201305021440 has 176 divisors, whose sum is σ = 3004406922528. Its totient is φ = 460487000064.

The previous prime is 1201305021421. The next prime is 1201305021443. The reversal of 1201305021440 is 441205031021.

It is not an unprimeable number, because it can be changed into a prime (1201305021443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11617004 + ... + 11719956.

It is an arithmetic number, because the mean of its divisors is an integer number (17070493878).

Almost surely, 2^{1201305021440} is an apocalyptic number.

1201305021440 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 1201305021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502203461264).

1201305021440 is an abundant number, since it is smaller than the sum of its proper divisors (1803101901088).

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

1201305021440 is a wasteful number, since it uses less digits than its factorization.

1201305021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103074 (or 103056 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 1201305021440 in words is "one trillion, two hundred one billion, three hundred five million, twenty-one thousand, four hundred forty".