4212301200 has 120 divisors (see below), whose sum is σ = 13513197600. Its totient is φ = 1121633280.

The previous prime is 4212301183. The next prime is 4212301217. The reversal of 4212301200 is 21032124.

4212301200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4212301183) and next prime (4212301217).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4212301200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968631 + ... + 972969.

It is an arithmetic number, because the mean of its divisors is an integer number (112609980).

Almost surely, 2^4212301200 is an apocalyptic number.

4212301200 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 4212301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756598800).

4212301200 is an abundant number, since it is smaller than the sum of its proper divisors (9300896400).

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

4212301200 is a wasteful number, since it uses less digits than its factorization.

4212301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4212301200 is about 64902.2434126895. The cubic root of 4212301200 is about 1615.0022780467.

Adding to 4212301200 its reverse (21032124), we get a palindrome (4233333324).

The spelling of 4212301200 in words is "four billion, two hundred twelve million, three hundred one thousand, two hundred".