4212114312 has 128 divisors (see below), whose sum is σ = 12280320000. Its totient is φ = 1179035136.

The previous prime is 4212114311. The next prime is 4212114317. The reversal of 4212114312 is 2134112124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4212114311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053489 + ... + 4054527.

It is an arithmetic number, because the mean of its divisors is an integer number (95940000).

Almost surely, 2^4212114312 is an apocalyptic number.

4212114312 is a gapful number since it is divisible by the number (42) 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 4212114312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140160000).

4212114312 is an abundant number, since it is smaller than the sum of its proper divisors (8068205688).

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

4212114312 is a wasteful number, since it uses less digits than its factorization.

4212114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 4212114312 is about 64900.8036313881. The cubic root of 4212114312 is about 1614.9783933183.

Adding to 4212114312 its reverse (2134112124), we get a palindrome (6346226436).

The spelling of 4212114312 in words is "four billion, two hundred twelve million, one hundred fourteen thousand, three hundred twelve".