1320012000 has 288 divisors, whose sum is σ = 4816191744. Its totient is φ = 342144000.

The previous prime is 1320011993. The next prime is 1320012007. The reversal of 1320012000 is 2100231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1320011993) and next prime (1320012007).

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 (1320012007) 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, 1331505 + ... + 1332495.

It is an arithmetic number, because the mean of its divisors is an integer number (16722888).

Almost surely, 2^1320012000 is an apocalyptic number.

1320012000 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 1320012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408095872).

1320012000 is an abundant number, since it is smaller than the sum of its proper divisors (3496179744).

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

1320012000 is a wasteful number, since it uses less digits than its factorization.

1320012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1038 counting only the distinct ones).

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

The square root of 1320012000 is about 36331.9693933593. The cubic root of 1320012000 is about 1096.9646346016.

Adding to 1320012000 its reverse (2100231), we get a palindrome (1322112231).

It can be divided in two parts, 13200 and 12000, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 1320012000 in words is "one billion, three hundred twenty million, twelve thousand".