6012000 has 144 divisors (see below), whose sum is σ = 21464352. Its totient is φ = 1593600.

The previous prime is 6011969. The next prime is 6012011. The reversal of 6012000 is 2106.

6012000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6012000² = 72288288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35917 + ... + 36083.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

Almost surely, 2^6012000 is an apocalyptic number.

6012000 is a gapful number since it is divisible by the number (60) 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 6012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10732176).

6012000 is an abundant number, since it is smaller than the sum of its proper divisors (15452352).

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

6012000 is a wasteful number, since it uses less digits than its factorization.

6012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 6012000 is about 2451.9380090043. The cubic root of 6012000 is about 181.8331199848.

Adding to 6012000 its reverse (2106), we get a palindrome (6014106).

It can be divided in two parts, 601 and 2000, that added together give a square (2601 = 51²).

The spelling of 6012000 in words is "six million, twelve thousand".