1143133122420 has 288 divisors, whose sum is σ = 3671978244480. Its totient is φ = 287057571840.

The previous prime is 1143133122413. The next prime is 1143133122431. The reversal of 1143133122420 is 242213313411.

1143133122420 is a `hidden beast` number, since 1 + 1 + 431 + 3 + 3 + 1 + 224 + 2 + 0 = 666.

It is a congruent number.

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, 746657055 + ... + 746658585.

It is an arithmetic number, because the mean of its divisors is an integer number (12749924460).

Almost surely, 2^{1143133122420} is an apocalyptic number.

1143133122420 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 1143133122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835989122240).

1143133122420 is an abundant number, since it is smaller than the sum of its proper divisors (2528845122060).

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

1143133122420 is a wasteful number, since it uses less digits than its factorization.

1143133122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1143133122420 its reverse (242213313411), we get a palindrome (1385346435831).

The spelling of 1143133122420 in words is "one trillion, one hundred forty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred twenty".