311973120 has 432 divisors, whose sum is σ = 1205305920. Its totient is φ = 76972032.

The previous prime is 311973107. The next prime is 311973131. The reversal of 311973120 is 21379113.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5287651 + ... + 5287709.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^311973120 is an apocalyptic number.

311973120 is a gapful number since it is divisible by the number (30) 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 311973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602652960).

311973120 is an abundant number, since it is smaller than the sum of its proper divisors (893332800).

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

311973120 is an equidigital number, since it uses as much as digits as its factorization.

311973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 311973120 is about 17662.7608260996. The cubic root of 311973120 is about 678.2228103162. Note that the first 3 decimals are identical.

The spelling of 311973120 in words is "three hundred eleven million, nine hundred seventy-three thousand, one hundred twenty".