1335025120 has 384 divisors, whose sum is σ = 4054095360. Its totient is φ = 408084480.

The previous prime is 1335025117. The next prime is 1335025123. The reversal of 1335025120 is 215205331.

It is an interprime number because it is at equal distance from previous prime (1335025117) and next prime (1335025123).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1335025091 and 1335025100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335025123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16084599 + ... + 16084681.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2^1335025120 is an apocalyptic number.

1335025120 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 1335025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027047680).

1335025120 is an abundant number, since it is smaller than the sum of its proper divisors (2719070240).

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

1335025120 is a wasteful number, since it uses less digits than its factorization.

1335025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1335025120 is about 36537.9955662595. The cubic root of 1335025120 is about 1101.1077325909.

The spelling of 1335025120 in words is "one billion, three hundred thirty-five million, twenty-five thousand, one hundred twenty".