1330123212000 has 1152 divisors, whose sum is σ = 5520287904768. Its totient is φ = 300022272000.

The previous prime is 1330123211983. The next prime is 1330123212013. The reversal of 1330123212000 is 2123210331.

1330123212000 is a `hidden beast` number, since 1 + 330 + 12 + 321 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 336994027 + ... + 336997973.

It is an arithmetic number, because the mean of its divisors is an integer number (4791916584).

Almost surely, 2^{1330123212000} is an apocalyptic number.

1330123212000 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 1330123212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760143952384).

1330123212000 is an abundant number, since it is smaller than the sum of its proper divisors (4190164692768).

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

1330123212000 is a wasteful number, since it uses less digits than its factorization.

1330123212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1330123212000 its reverse (2123210331), we get a palindrome (1332246422331).

The spelling of 1330123212000 in words is "one trillion, three hundred thirty billion, one hundred twenty-three million, two hundred twelve thousand".