4213412120 has 64 divisors (see below), whose sum is σ = 9840579840. Its totient is φ = 1621900800.

The previous prime is 4213412057. The next prime is 4213412131. The reversal of 4213412120 is 212143124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4213412092 and 4213412101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215054 + ... + 233826.

It is an arithmetic number, because the mean of its divisors is an integer number (153759060).

Almost surely, 2^4213412120 is an apocalyptic number.

4213412120 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 4213412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920289920).

4213412120 is an abundant number, since it is smaller than the sum of its proper divisors (5627167720).

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

4213412120 is a wasteful number, since it uses less digits than its factorization.

4213412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18996 (or 18992 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4213412120 is about 64910.8012583422. The cubic root of 4213412120 is about 1615.1442416706.

Adding to 4213412120 its reverse (212143124), we get a palindrome (4425555244).

The spelling of 4213412120 in words is "four billion, two hundred thirteen million, four hundred twelve thousand, one hundred twenty".