4120012000 has 96 divisors (see below), whose sum is σ = 10901689344. Its totient is φ = 1521216000.

The previous prime is 4120011983. The next prime is 4120012007. The reversal of 4120012000 is 2100214.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120012007) 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, 12385 + ... + 91615.

It is an arithmetic number, because the mean of its divisors is an integer number (113559264).

Almost surely, 2^4120012000 is an apocalyptic number.

4120012000 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 4120012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450844672).

4120012000 is an abundant number, since it is smaller than the sum of its proper divisors (6781677344).

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

4120012000 is a wasteful number, since it uses less digits than its factorization.

4120012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79269 (or 79251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4120012000 is about 64187.3196199997. The cubic root of 4120012000 is about 1603.1204726999.

Adding to 4120012000 its reverse (2100214), we get a palindrome (4122112214).

The spelling of 4120012000 in words is "four billion, one hundred twenty million, twelve thousand".