312121233000 has 384 divisors, whose sum is σ = 1109957415840. Its totient is φ = 79004160000.

The previous prime is 312121232933. The next prime is 312121233043. The reversal of 312121233000 is 332121213.

312121233000 is a `hidden beast` number, since 3 + 121 + 212 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 125316 + 312121107684 = 354^2 + 558678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13641570 + ... + 13664430.

Almost surely, 2^312121233000 is an apocalyptic number.

312121233000 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 312121233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554978707920).

312121233000 is an abundant number, since it is smaller than the sum of its proper divisors (797836182840).

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

312121233000 is a wasteful number, since it uses less digits than its factorization.

312121233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22966 (or 22949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312121233000 its reverse (332121213), we get a palindrome (312453354213).

The spelling of 312121233000 in words is "three hundred twelve billion, one hundred twenty-one million, two hundred thirty-three thousand".