4212893412 has 144 divisors (see below), whose sum is σ = 13191872512. Its totient is φ = 1103880960.

The previous prime is 4212893411. The next prime is 4212893413. The reversal of 4212893412 is 2143982124.

It is an interprime number because it is at equal distance from previous prime (4212893411) and next prime (4212893413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4212893411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510237 + ... + 518427.

Almost surely, 2^4212893412 is an apocalyptic number.

4212893412 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 4212893412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595936256).

4212893412 is an abundant number, since it is smaller than the sum of its proper divisors (8978979100).

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

4212893412 is a wasteful number, since it uses less digits than its factorization.

4212893412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8373 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4212893412 is about 64906.8055907853. The cubic root of 4212893412 is about 1615.0779594748.

The spelling of 4212893412 in words is "four billion, two hundred twelve million, eight hundred ninety-three thousand, four hundred twelve".