201279117312 has 1152 divisors, whose sum is σ = 763176960000. Its totient is φ = 50721914880.

The previous prime is 201279117311. The next prime is 201279117323. The reversal of 201279117312 is 213711972102.

201279117312 is a `hidden beast` number, since 201 + 27 + 9 + 117 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201279117311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2547836889 + ... + 2547836967.

It is an arithmetic number, because the mean of its divisors is an integer number (662480000).

Almost surely, 2^201279117312 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 201279117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588480000).

201279117312 is an abundant number, since it is smaller than the sum of its proper divisors (561897842688).

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

201279117312 is a wasteful number, since it uses less digits than its factorization.

201279117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 201279117312 in words is "two hundred one billion, two hundred seventy-nine million, one hundred seventeen thousand, three hundred twelve".