1121202000 has 280 divisors, whose sum is σ = 4070025960. Its totient is φ = 298598400.

The previous prime is 1121201993. The next prime is 1121202001. The reversal of 1121202000 is 2021211.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 1042773264 = 8856^2 + 32292^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121202001) 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 55 ways as a sum of consecutive naturals, for example, 1457616 + ... + 1458384.

It is an arithmetic number, because the mean of its divisors is an integer number (14535807).

Almost surely, 2^1121202000 is an apocalyptic number.

1121202000 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 1121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035012980).

1121202000 is an abundant number, since it is smaller than the sum of its proper divisors (2948823960).

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

1121202000 is an frugal number, since it uses more digits than its factorization.

1121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 779 counting only the distinct ones).

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

The square root of 1121202000 is about 33484.3545555234. The cubic root of 1121202000 is about 1038.8701981358.

Adding to 1121202000 its reverse (2021211), we get a palindrome (1123223211).

The spelling of 1121202000 in words is "one billion, one hundred twenty-one million, two hundred two thousand".