1029120000 has 280 divisors, whose sum is σ = 3480273456. Its totient is φ = 270336000.

The previous prime is 1029119983. The next prime is 1029120017. The reversal of 1029120000 is 219201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1029119983) and next prime (1029120017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359967 + ... + 15360033.

Almost surely, 2^1029120000 is an apocalyptic number.

1029120000 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 1029120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740136728).

1029120000 is an abundant number, since it is smaller than the sum of its proper divisors (2451153456).

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

1029120000 is an frugal number, since it uses more digits than its factorization.

1029120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1029120000 is about 32079.9002492215. The cubic root of 1029120000 is about 1009.6139425760.

Adding to 1029120000 its reverse (219201), we get a palindrome (1029339201).

The spelling of 1029120000 in words is "one billion, twenty-nine million, one hundred twenty thousand".