31120000 has 80 divisors (see below), whose sum is σ = 77670450. Its totient is φ = 12416000.

The previous prime is 31119983. The next prime is 31120009. The reversal of 31120000 is 2113.

It can be written as a sum of positive squares in 5 ways, for example, as 28224 + 31091776 = 168^2 + 5576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79806 + ... + 80194.

Almost surely, 2^31120000 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 31120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38835225).

31120000 is an abundant number, since it is smaller than the sum of its proper divisors (46550450).

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

31120000 is an frugal number, since it uses more digits than its factorization.

31120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 31120000 is about 5578.5302723925. The cubic root of 31120000 is about 314.5428827814.

Adding to 31120000 its reverse (2113), we get a palindrome (31122113).

The spelling of 31120000 in words is "thirty-one million, one hundred twenty thousand".