1121142132144 has 80 divisors (see below), whose sum is σ = 3218433590400. Its totient is φ = 373674510144.

The previous prime is 1121142132137. The next prime is 1121142132151. The reversal of 1121142132144 is 4412312411211.

1121142132144 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 421 + 3 + 214 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1121142132137) and next prime (1121142132151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4102527 + ... + 4367265.

It is an arithmetic number, because the mean of its divisors is an integer number (40230419880).

Almost surely, 2^{1121142132144} is an apocalyptic number.

It is an amenable number.

1121142132144 is an abundant number, since it is smaller than the sum of its proper divisors (2097291458256).

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

1121142132144 is a wasteful number, since it uses less digits than its factorization.

1121142132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274559 (or 274547 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 1121142132144 its reverse (4412312411211), we get a palindrome (5533454543355).

The spelling of 1121142132144 in words is "one trillion, one hundred twenty-one billion, one hundred forty-two million, one hundred thirty-two thousand, one hundred forty-four".