4332122000 has 80 divisors (see below), whose sum is σ = 10509653232. Its totient is φ = 1727129600.

The previous prime is 4332121991. The next prime is 4332122009. The reversal of 4332122000 is 2212334.

It is an interprime number because it is at equal distance from previous prime (4332121991) and next prime (4332122009).

It can be written as a sum of positive squares in 8 ways, for example, as 3408691456 + 923430544 = 58384^2 + 30388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4332122000.

It is not an unprimeable number, because it can be changed into a prime (4332122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630584 + ... + 637416.

Almost surely, 2^4332122000 is an apocalyptic number.

4332122000 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 4332122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254826616).

4332122000 is an abundant number, since it is smaller than the sum of its proper divisors (6177531232).

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

4332122000 is a wasteful number, since it uses less digits than its factorization.

4332122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4332122000 is about 65818.8574802085. The cubic root of 4332122000 is about 1630.1724885526.

Adding to 4332122000 its reverse (2212334), we get a palindrome (4334334334).

The spelling of 4332122000 in words is "four billion, three hundred thirty-two million, one hundred twenty-two thousand".