1122400144 has 20 divisors (see below), whose sum is σ = 2183990796. Its totient is φ = 558789632.

The previous prime is 1122400127. The next prime is 1122400151. The reversal of 1122400144 is 4410042211.

It can be written as a sum of positive squares in 2 ways, for example, as 88134544 + 1034265600 = 9388^2 + 32160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146809 + ... + 154264.

Almost surely, 2^1122400144 is an apocalyptic number.

It is an amenable number.

1122400144 is a deficient number, since it is larger than the sum of its proper divisors (1061590652).

1122400144 is a wasteful number, since it uses less digits than its factorization.

1122400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301314 (or 301308 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1122400144 is about 33502.2408802755. The cubic root of 1122400144 is about 1039.2401204691.

Adding to 1122400144 its reverse (4410042211), we get a palindrome (5532442355).

The spelling of 1122400144 in words is "one billion, one hundred twenty-two million, four hundred thousand, one hundred forty-four".