4302012000 has 768 divisors, whose sum is σ = 17435658240. Its totient is φ = 912384000.

The previous prime is 4302011971. The next prime is 4302012041. The reversal of 4302012000 is 2102034.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39467946 + ... + 39468054.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2^4302012000 is an apocalyptic number.

4302012000 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 4302012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

4302012000 is an abundant number, since it is smaller than the sum of its proper divisors (13133646240).

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

4302012000 is a wasteful number, since it uses less digits than its factorization.

4302012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4302012000 is about 65589.7248050333. The cubic root of 4302012000 is about 1626.3869185086.

Adding to 4302012000 its reverse (2102034), we get a palindrome (4304114034).

The spelling of 4302012000 in words is "four billion, three hundred two million, twelve thousand".