1141024211012 has 288 divisors, whose sum is σ = 2544400924128. Its totient is φ = 444717858816.

The previous prime is 1141024210973. The next prime is 1141024211069. The reversal of 1141024211012 is 2101124201411.

It can be written as a sum of positive squares in 16 ways, for example, as 64360645636 + 1076663565376 = 253694^2 + 1037624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3232363028 + ... + 3232363380.

It is an arithmetic number, because the mean of its divisors is an integer number (8834725431).

Almost surely, 2^{1141024211012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141024211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272200462064).

1141024211012 is an abundant number, since it is smaller than the sum of its proper divisors (1403376713116).

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

1141024211012 is a wasteful number, since it uses less digits than its factorization.

1141024211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

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

Adding to 1141024211012 its reverse (2101124201411), we get a palindrome (3242148412423).

The spelling of 1141024211012 in words is "one trillion, one hundred forty-one billion, twenty-four million, two hundred eleven thousand, twelve".