1121222400144 has 640 divisors, whose sum is σ = 3971831500800. Its totient is φ = 263642480640.

The previous prime is 1121222400121. The next prime is 1121222400157. The reversal of 1121222400144 is 4410042221211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206903067 + ... + 206908485.

It is an arithmetic number, because the mean of its divisors is an integer number (6205986720).

Almost surely, 2^{1121222400144} is an apocalyptic number.

1121222400144 is a gapful number since it is divisible by the number (14) 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 1121222400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985915750400).

1121222400144 is an abundant number, since it is smaller than the sum of its proper divisors (2850609100656).

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

1121222400144 is a wasteful number, since it uses less digits than its factorization.

1121222400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1121222400144 its reverse (4410042221211), we get a palindrome (5531264621355).

The spelling of 1121222400144 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-two million, four hundred thousand, one hundred forty-four".