1122112000 has 160 divisors (see below), whose sum is σ = 2843858160. Its totient is φ = 441548800.

The previous prime is 1122111989. The next prime is 1122112001. The reversal of 1122112000 is 2112211.

It can be written as a sum of positive squares in 8 ways, for example, as 121528576 + 1000583424 = 11024^2 + 31632^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1122112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5695902 + ... + 5696098.

Almost surely, 2^1122112000 is an apocalyptic number.

1122112000 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 1122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421929080).

1122112000 is an abundant number, since it is smaller than the sum of its proper divisors (1721746160).

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

1122112000 is an frugal number, since it uses more digits than its factorization.

1122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1122112000 is about 33497.9402351846. The cubic root of 1122112000 is about 1039.1511811736.

Adding to 1122112000 its reverse (2112211), we get a palindrome (1124224211).

It can be divided in two parts, 112 and 2112000, that added together give a palindrome (2112112).

The spelling of 1122112000 in words is "one billion, one hundred twenty-two million, one hundred twelve thousand".