1125198000 has 320 divisors, whose sum is σ = 4104023040. Its totient is φ = 294624000.

The previous prime is 1125197981. The next prime is 1125198007. The reversal of 1125198000 is 8915211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1125198007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3617845 + ... + 3618155.

It is an arithmetic number, because the mean of its divisors is an integer number (12825072).

Almost surely, 2^1125198000 is an apocalyptic number.

1125198000 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 1125198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052011520).

1125198000 is an abundant number, since it is smaller than the sum of its proper divisors (2978825040).

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

1125198000 is a wasteful number, since it uses less digits than its factorization.

1125198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1125198000 is about 33543.9711423677. The cubic root of 1125198000 is about 1040.1029237389.

The spelling of 1125198000 in words is "one billion, one hundred twenty-five million, one hundred ninety-eight thousand".