1329612900 has 144 divisors (see below), whose sum is σ = 4796359680. Its totient is φ = 276278400.

The previous prime is 1329612883. The next prime is 1329612937. The reversal of 1329612900 is 92169231.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 5680 + ... + 51879.

Almost surely, 2^1329612900 is an apocalyptic number.

1329612900 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 1329612900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398179840).

1329612900 is an abundant number, since it is smaller than the sum of its proper divisors (3466746780).

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

1329612900 is a wasteful number, since it uses less digits than its factorization.

1329612900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57594 (or 57587 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1329612900 is about 36463.8574481637. The cubic root of 1329612900 is about 1099.6177459686.

The spelling of 1329612900 in words is "one billion, three hundred twenty-nine million, six hundred twelve thousand, nine hundred".