1128202000 has 80 divisors (see below), whose sum is σ = 2746132272. Its totient is φ = 448281600.

The previous prime is 1128201989. The next prime is 1128202037. The reversal of 1128202000 is 2028211.

It can be written as a sum of positive squares in 8 ways, for example, as 586802176 + 541399824 = 24224^2 + 23268^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312204 + ... + 315796.

Almost surely, 2^1128202000 is an apocalyptic number.

1128202000 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 1128202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373066136).

1128202000 is an abundant number, since it is smaller than the sum of its proper divisors (1617930272).

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

1128202000 is a wasteful number, since it uses less digits than its factorization.

1128202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1128202000 is about 33588.7183441107. The cubic root of 1128202000 is about 1041.0277069859.

The spelling of 1128202000 in words is "one billion, one hundred twenty-eight million, two hundred two thousand".