312121000 has 32 divisors (see below), whose sum is σ = 730365480. Its totient is φ = 124848000.

The previous prime is 312120973. The next prime is 312121013. The reversal of 312121000 is 121213.

312121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 176305284 + 135815716 = 13278^2 + 11654^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155061 + ... + 157060.

Almost surely, 2^312121000 is an apocalyptic number.

It is an amenable number.

312121000 is an abundant number, since it is smaller than the sum of its proper divisors (418244480).

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

312121000 is a wasteful number, since it uses less digits than its factorization.

312121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312142 (or 312128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 312121000 is about 17666.9465386637. The cubic root of 312121000 is about 678.3299560281.

Adding to 312121000 its reverse (121213), we get a palindrome (312242213).

The spelling of 312121000 in words is "three hundred twelve million, one hundred twenty-one thousand".