1330212400 has 120 divisors (see below), whose sum is σ = 3511494000. Its totient is φ = 480230400.

The previous prime is 1330212307. The next prime is 1330212409. The reversal of 1330212400 is 42120331.

It is a happy number.

It is a super-2 number, since 2×1330212400² = 3538930058227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1330212409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654586 + ... + 656614.

It is an arithmetic number, because the mean of its divisors is an integer number (29262450).

Almost surely, 2^1330212400 is an apocalyptic number.

1330212400 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 1330212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755747000).

1330212400 is an abundant number, since it is smaller than the sum of its proper divisors (2181281600).

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

1330212400 is a wasteful number, since it uses less digits than its factorization.

1330212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1330212400 is about 36472.0769904868. The cubic root of 1330212400 is about 1099.7829874927.

Adding to 1330212400 its reverse (42120331), we get a palindrome (1372332731).

The spelling of 1330212400 in words is "one billion, three hundred thirty million, two hundred twelve thousand, four hundred".