1012032120000 has 560 divisors, whose sum is σ = 3686823638784. Its totient is φ = 242880000000.

The previous prime is 1012032119981. The next prime is 1012032120031. The reversal of 1012032120000 is 212302101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133316205 + ... + 133323795.

Almost surely, 2^{1012032120000} is an apocalyptic number.

1012032120000 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 1012032120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843411819392).

1012032120000 is an abundant number, since it is smaller than the sum of its proper divisors (2674791518784).

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

1012032120000 is a wasteful number, since it uses less digits than its factorization.

1012032120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738 (or 7713 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1012032120000 its reverse (212302101), we get a palindrome (1012244422101).

The spelling of 1012032120000 in words is "one trillion, twelve billion, thirty-two million, one hundred twenty thousand".