1141012124016 has 80 divisors (see below), whose sum is σ = 3022716890880. Its totient is φ = 370767147520.

The previous prime is 1141012123957. The next prime is 1141012124017. The reversal of 1141012124016 is 6104212101411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141012124017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577610 + ... + 2184233.

It is an arithmetic number, because the mean of its divisors is an integer number (37783961136).

Almost surely, 2^{1141012124016} is an apocalyptic number.

1141012124016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1141012124016 is an abundant number, since it is smaller than the sum of its proper divisors (1881704766864).

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

1141012124016 is a wasteful number, since it uses less digits than its factorization.

1141012124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762014 (or 3762008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1141012124016 its reverse (6104212101411), we get a palindrome (7245224225427).

The spelling of 1141012124016 in words is "one trillion, one hundred forty-one billion, twelve million, one hundred twenty-four thousand, sixteen".