1345002120 has 384 divisors, whose sum is σ = 5508622080. Its totient is φ = 278784000.

The previous prime is 1345002103. The next prime is 1345002179. The reversal of 1345002120 is 212005431.

1345002120 is a `hidden beast` number, since 1 + 3 + 450 + 0 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1345002093 and 1345002102.

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 95 ways as a sum of consecutive naturals, for example, 3353920 + ... + 3354320.

It is an arithmetic number, because the mean of its divisors is an integer number (14345370).

Almost surely, 2^1345002120 is an apocalyptic number.

1345002120 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 1345002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754311040).

1345002120 is an abundant number, since it is smaller than the sum of its proper divisors (4163619960).

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

1345002120 is a wasteful number, since it uses less digits than its factorization.

1345002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1345002120 is about 36674.2705448929. The cubic root of 1345002120 is about 1103.8438854551.

Adding to 1345002120 its reverse (212005431), we get a palindrome (1557007551).

The spelling of 1345002120 in words is "one billion, three hundred forty-five million, two thousand, one hundred twenty".