1346112000 has 640 divisors, whose sum is σ = 5362156800. Its totient is φ = 331776000.

The previous prime is 1346111983. The next prime is 1346112029. The reversal of 1346112000 is 2116431.

It is a happy number.

1346112000 is a `hidden beast` number, since 1 + 3 + 461 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32831980 + ... + 32832020.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^1346112000 is an apocalyptic number.

1346112000 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 1346112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681078400).

1346112000 is an abundant number, since it is smaller than the sum of its proper divisors (4016044800).

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

1346112000 is an equidigital number, since it uses as much as digits as its factorization.

1346112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1346112000 is about 36689.3990138841. The cubic root of 1346112000 is about 1104.1474283266.

Adding to 1346112000 its reverse (2116431), we get a palindrome (1348228431).

The spelling of 1346112000 in words is "one billion, three hundred forty-six million, one hundred twelve thousand".