1220112000 has 384 divisors, whose sum is σ = 4519803600. Its totient is φ = 315187200.

The previous prime is 1220111939. The next prime is 1220112007. The reversal of 1220112000 is 2110221.

It can be written as a sum of positive squares in 8 ways, for example, as 467597376 + 752514624 = 21624^2 + 27432^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1220112007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5327886 + ... + 5328114.

Almost surely, 2^1220112000 is an apocalyptic number.

1220112000 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 1220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259901800).

1220112000 is an abundant number, since it is smaller than the sum of its proper divisors (3299691600).

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

1220112000 is a wasteful number, since it uses less digits than its factorization.

1220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1220112000 is about 34930.1016316872. The cubic root of 1220112000 is about 1068.5624273259.

Adding to 1220112000 its reverse (2110221), we get a palindrome (1222222221).

The spelling of 1220112000 in words is "one billion, two hundred twenty million, one hundred twelve thousand".