1346122800 has 360 divisors, whose sum is σ = 5289036480. Its totient is φ = 326073600.

The previous prime is 1346122763. The next prime is 1346122829. The reversal of 1346122800 is 82216431.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1068571 + ... + 1069829.

It is an arithmetic number, because the mean of its divisors is an integer number (14691768).

Almost surely, 2^1346122800 is an apocalyptic number.

1346122800 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 1346122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644518240).

1346122800 is an abundant number, since it is smaller than the sum of its proper divisors (3942913680).

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

1346122800 is a wasteful number, since it uses less digits than its factorization.

1346122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1346122800 is about 36689.5461950676. The cubic root of 1346122800 is about 1104.1503812162.

The spelling of 1346122800 in words is "one billion, three hundred forty-six million, one hundred twenty-two thousand, eight hundred".