1213438320 has 200 divisors, whose sum is σ = 4240130400. Its totient is φ = 321615360.

The previous prime is 1213438313. The next prime is 1213438333. The reversal of 1213438320 is 238343121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1289050 + ... + 1289990.

It is an arithmetic number, because the mean of its divisors is an integer number (21200652).

Almost surely, 2^1213438320 is an apocalyptic number.

1213438320 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 1213438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120065200).

1213438320 is an abundant number, since it is smaller than the sum of its proper divisors (3026692080).

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

1213438320 is a wasteful number, since it uses less digits than its factorization.

1213438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1213438320 is about 34834.4415772666. The cubic root of 1213438320 is about 1066.6106159783.

The spelling of 1213438320 in words is "one billion, two hundred thirteen million, four hundred thirty-eight thousand, three hundred twenty".