4012000 has 96 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1484800.

The previous prime is 4011991. The next prime is 4012013. The reversal of 4012000 is 2104.

It is a super-2 number, since 2×4012000² = 32192288000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67971 + ... + 68029.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 2^4012000 is an apocalyptic number.

4012000 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 4012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4012000 is an abundant number, since it is smaller than the sum of its proper divisors (6602240).

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

4012000 is a wasteful number, since it uses less digits than its factorization.

4012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4012000 is about 2002.9977533687. The cubic root of 4012000 is about 158.8986868260.

Adding to 4012000 its reverse (2104), we get a palindrome (4014104).

It can be divided in two parts, 401 and 2000, that added together give a 4-th power (2401 = 7⁴).

The spelling of 4012000 in words is "four million, twelve thousand".