1345120000 has 180 divisors, whose sum is σ = 3837659056. Its totient is φ = 460800000.

The previous prime is 1345119961. The next prime is 1345120031. The reversal of 1345120000 is 215431.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1119400 + ... + 1120600.

Almost surely, 2^1345120000 is an apocalyptic number.

1345120000 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 1345120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918829528).

1345120000 is an abundant number, since it is smaller than the sum of its proper divisors (2492539056).

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

1345120000 is an frugal number, since it uses more digits than its factorization.

1345120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1345120000 is about 36675.8776309443. The cubic root of 1345120000 is about 1103.8761325706.

Adding to 1345120000 its reverse (215431), we get a palindrome (1345335431).

The spelling of 1345120000 in words is "one billion, three hundred forty-five million, one hundred twenty thousand".