971121312 has 336 divisors, whose sum is σ = 3459476160. Its totient is φ = 262020096.

The previous prime is 971121301. The next prime is 971121313. The reversal of 971121312 is 213121179.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (971121313) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102468 + ... + 3102780.

It is an arithmetic number, because the mean of its divisors is an integer number (10296060).

Almost surely, 2^971121312 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 971121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729738080).

971121312 is an abundant number, since it is smaller than the sum of its proper divisors (2488354848).

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

971121312 is a wasteful number, since it uses less digits than its factorization.

971121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 344 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 971121312 is about 31162.8193846449. The cubic root of 971121312 is about 990.2795904536.

The spelling of 971121312 in words is "nine hundred seventy-one million, one hundred twenty-one thousand, three hundred twelve".