1213012042000 has 320 divisors, whose sum is σ = 3344698925568. Its totient is φ = 421175040000.

The previous prime is 1213012041973. The next prime is 1213012042019. The reversal of 1213012042000 is 2402103121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 342560230 + ... + 342563770.

Almost surely, 2^{1213012042000} is an apocalyptic number.

1213012042000 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 1213012042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672349462784).

1213012042000 is an abundant number, since it is smaller than the sum of its proper divisors (2131686883568).

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

1213012042000 is a wasteful number, since it uses less digits than its factorization.

1213012042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1213012042000 its reverse (2402103121), we get a palindrome (1215414145121).

The spelling of 1213012042000 in words is "one trillion, two hundred thirteen billion, twelve million, forty-two thousand".