971277120 has 672 divisors, whose sum is σ = 4016922624. Its totient is φ = 212889600.

The previous prime is 971277107. The next prime is 971277157. The reversal of 971277120 is 21772179.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22587819 + ... + 22587861.

Almost surely, 2^971277120 is an apocalyptic number.

971277120 is a gapful number since it is divisible by the number (90) 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 971277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008461312).

971277120 is an abundant number, since it is smaller than the sum of its proper divisors (3045645504).

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

971277120 is a wasteful number, since it uses less digits than its factorization.

971277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 971277120 is about 31165.3191865574. The cubic root of 971277120 is about 990.3325482148.

The spelling of 971277120 in words is "nine hundred seventy-one million, two hundred seventy-seven thousand, one hundred twenty".