1212012000 has 288 divisors, whose sum is σ = 4351130784. Its totient is φ = 319488000.

The previous prime is 1212011987. The next prime is 1212012001. The reversal of 1212012000 is 2102121.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4715872 + ... + 4716128.

It is an arithmetic number, because the mean of its divisors is an integer number (15108093).

Almost surely, 2^1212012000 is an apocalyptic number.

1212012000 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 1212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175565392).

1212012000 is an abundant number, since it is smaller than the sum of its proper divisors (3139118784).

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

1212012000 is a wasteful number, since it uses less digits than its factorization.

1212012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1212012000 is about 34813.9627161287. The cubic root of 1212012000 is about 1066.1925410219.

Adding to 1212012000 its reverse (2102121), we get a palindrome (1214114121).

It can be divided in two parts, 121201 and 2000, that added together give a square (123201 = 351²).

The spelling of 1212012000 in words is "one billion, two hundred twelve million, twelve thousand".