12012000 has 384 divisors, whose sum is σ = 52835328. Its totient is φ = 2304000.

The previous prime is 12011983. The next prime is 12012017. The reversal of 12012000 is 21021.

It is a happy number.

12012000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12011983) and next prime (12012017).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923994 + ... + 924006.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^12012000 is an apocalyptic number.

12012000 is a gapful number since it is divisible by the number (10) 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 12012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

12012000 is an abundant number, since it is smaller than the sum of its proper divisors (40823328).

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

12012000 is a wasteful number, since it uses less digits than its factorization.

12012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12012000 is about 3465.8332331490. The cubic root of 12012000 is about 229.0191373695.

Adding to 12012000 its reverse (21021), we get a palindrome (12033021).

It can be divided in two parts, 120 and 12000, that multiplied together give a square (1440000 = 1200²).

The spelling of 12012000 in words is "twelve million, twelve thousand".