1042020312012 has 144 divisors (see below), whose sum is σ = 2771628088320. Its totient is φ = 329631120000.

The previous prime is 1042020311989. The next prime is 1042020312031. The reversal of 1042020312012 is 2102130202401.

It is a happy number.

1042020312012 is a `hidden beast` number, since 10 + 420 + 2 + 0 + 31 + 201 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192287439 + ... + 192292857.

It is an arithmetic number, because the mean of its divisors is an integer number (19247417280).

Almost surely, 2^{1042020312012} is an apocalyptic number.

1042020312012 is a gapful number since it is divisible by the number (12) 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 1042020312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385814044160).

1042020312012 is an abundant number, since it is smaller than the sum of its proper divisors (1729607776308).

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

1042020312012 is a wasteful number, since it uses less digits than its factorization.

1042020312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1042020312012 its reverse (2102130202401), we get a palindrome (3144150514413).

The spelling of 1042020312012 in words is "one trillion, forty-two billion, twenty million, three hundred twelve thousand, twelve".