201302151143712 has 192 divisors, whose sum is σ = 532000441728000. Its totient is φ = 66647371972608.

The previous prime is 201302151143663. The next prime is 201302151143771. The reversal of 201302151143712 is 217341151203102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19564787464 + ... + 19564797752.

It is an arithmetic number, because the mean of its divisors is an integer number (2770835634000).

Almost surely, 2^{201302151143712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201302151143712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266000220864000).

201302151143712 is an abundant number, since it is smaller than the sum of its proper divisors (330698290584288).

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

201302151143712 is a wasteful number, since it uses less digits than its factorization.

201302151143712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 201302151143712 in words is "two hundred one trillion, three hundred two billion, one hundred fifty-one million, one hundred forty-three thousand, seven hundred twelve".