1122442000 has 80 divisors (see below), whose sum is σ = 2873802672. Its totient is φ = 422553600.

The previous prime is 1122441989. The next prime is 1122442037. The reversal of 1122442000 is 2442211.

It can be written as a sum of positive squares in 8 ways, for example, as 394737424 + 727704576 = 19868^2 + 26976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17494 + ... + 50506.

Almost surely, 2^1122442000 is an apocalyptic number.

1122442000 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 1122442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436901336).

1122442000 is an abundant number, since it is smaller than the sum of its proper divisors (1751360672).

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

1122442000 is a wasteful number, since it uses less digits than its factorization.

1122442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33053 (or 33037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1122442000 is about 33502.8655490840. The cubic root of 1122442000 is about 1039.2530385874.

Adding to 1122442000 its reverse (2442211), we get a palindrome (1124884211).

It can be divided in two parts, 112244 and 2000, that added together give a square (114244 = 338²).

The spelling of 1122442000 in words is "one billion, one hundred twenty-two million, four hundred forty-two thousand".