1120212000 has 432 divisors, whose sum is σ = 4228732872. Its totient is φ = 280627200.

The previous prime is 1120211929. The next prime is 1120212007. The reversal of 1120212000 is 2120211.

It can be written as a sum of positive squares in 12 ways, for example, as 1710864 + 1118501136 = 1308^2 + 33444^2 .

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 (1120212007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30275982 + ... + 30276018.

Almost surely, 2^1120212000 is an apocalyptic number.

1120212000 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 1120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114366436).

1120212000 is an abundant number, since it is smaller than the sum of its proper divisors (3108520872).

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

1120212000 is a wasteful number, since it uses less digits than its factorization.

1120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

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

The square root of 1120212000 is about 33469.5682673081. The cubic root of 1120212000 is about 1038.5643405667.

Adding to 1120212000 its reverse (2120211), we get a palindrome (1122332211).

The spelling of 1120212000 in words is "one billion, one hundred twenty million, two hundred twelve thousand".