1141012124000 has 192 divisors, whose sum is σ = 3282110762112. Its totient is φ = 381662208000.

The previous prime is 1141012123957. The next prime is 1141012124017. The reversal of 1141012124000 is 4212101411.

It is a super-2 number, since 2×1141012124000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1141012124000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651044 + ... + 1644956.

It is an arithmetic number, because the mean of its divisors is an integer number (17094326886).

Almost surely, 2^{1141012124000} is an apocalyptic number.

1141012124000 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 1141012124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641055381056).

1141012124000 is an abundant number, since it is smaller than the sum of its proper divisors (2141098638112).

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

1141012124000 is an equidigital number, since it uses as much as digits as its factorization.

1141012124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993986 (or 993968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1141012124000 its reverse (4212101411), we get a palindrome (1145224225411).

The spelling of 1141012124000 in words is "one trillion, one hundred forty-one billion, twelve million, one hundred twenty-four thousand".