1129207800 has 384 divisors, whose sum is σ = 4228300800. Its totient is φ = 243855360.

The previous prime is 1129207799. The next prime is 1129207801. The reversal of 1129207800 is 87029211.

It is an interprime number because it is at equal distance from previous prime (1129207799) and next prime (1129207801).

It is a super-3 number, since 3×1129207800³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129207801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8891337 + ... + 8891463.

It is an arithmetic number, because the mean of its divisors is an integer number (11011200).

Almost surely, 2^1129207800 is an apocalyptic number.

1129207800 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 1129207800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114150400).

1129207800 is an abundant number, since it is smaller than the sum of its proper divisors (3099093000).

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

1129207800 is a wasteful number, since it uses less digits than its factorization.

1129207800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1129207800 is about 33603.6872976761. The cubic root of 1129207800 is about 1041.3369762675.

The spelling of 1129207800 in words is "one billion, one hundred twenty-nine million, two hundred seven thousand, eight hundred".