1121144141000 has 384 divisors, whose sum is σ = 2935859191200. Its totient is φ = 400254566400.

The previous prime is 1121144140999. The next prime is 1121144141027. The reversal of 1121144141000 is 1414411211.

It can be written as a sum of positive squares in 48 ways, for example, as 1118462765476 + 2681375524 = 1057574^2 + 51782^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 95 ways as a sum of consecutive naturals, for example, 1206828536 + ... + 1206829464.

Almost surely, 2^{1121144141000} is an apocalyptic number.

1121144141000 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 1121144141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467929595600).

1121144141000 is an abundant number, since it is smaller than the sum of its proper divisors (1814715050200).

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

1121144141000 is a wasteful number, since it uses less digits than its factorization.

1121144141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1121144141000 its reverse (1414411211), we get a palindrome (1122558552211).

The spelling of 1121144141000 in words is "one trillion, one hundred twenty-one billion, one hundred forty-four million, one hundred forty-one thousand".