4122313000 has 256 divisors, whose sum is σ = 11491683840. Its totient is φ = 1368576000.

The previous prime is 4122312973. The next prime is 4122313033. The reversal of 4122313000 is 3132214.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5082595 + ... + 5083405.

It is an arithmetic number, because the mean of its divisors is an integer number (44889390).

Almost surely, 2^4122313000 is an apocalyptic number.

4122313000 is a gapful number since it is divisible by the number (40) 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 4122313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745841920).

4122313000 is an abundant number, since it is smaller than the sum of its proper divisors (7369370840).

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

4122313000 is a wasteful number, since it uses less digits than its factorization.

4122313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4122313000 is about 64205.2412190781. The cubic root of 4122313000 is about 1603.4188612888.

Adding to 4122313000 its reverse (3132214), we get a palindrome (4125445214).

The spelling of 4122313000 in words is "four billion, one hundred twenty-two million, three hundred thirteen thousand".