4312005120 has 480 divisors, whose sum is σ = 16115196240. Its totient is φ = 1061683200.

The previous prime is 4312005101. The next prime is 4312005133. The reversal of 4312005120 is 215002134.

It can be written as a sum of positive squares in 8 ways, for example, as 3899752704 + 412252416 = 62448^2 + 20304^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4312005093 and 4312005102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39559626 + ... + 39559734.

Almost surely, 2^4312005120 is an apocalyptic number.

4312005120 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 4312005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057598120).

4312005120 is an abundant number, since it is smaller than the sum of its proper divisors (11803191120).

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

4312005120 is a wasteful number, since it uses less digits than its factorization.

4312005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4312005120 is about 65665.8596227903. The cubic root of 4312005120 is about 1627.6452530924.

Adding to 4312005120 its reverse (215002134), we get a palindrome (4527007254).

The spelling of 4312005120 in words is "four billion, three hundred twelve million, five thousand, one hundred twenty".