1352771120 has 80 divisors (see below), whose sum is σ = 3425004000. Its totient is φ = 494936064.

The previous prime is 1352771089. The next prime is 1352771153. The reversal of 1352771120 is 211772531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 28736 + ... + 59424.

It is an arithmetic number, because the mean of its divisors is an integer number (42812550).

Almost surely, 2^1352771120 is an apocalyptic number.

1352771120 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 1352771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712502000).

1352771120 is an abundant number, since it is smaller than the sum of its proper divisors (2072232880).

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

1352771120 is a wasteful number, since it uses less digits than its factorization.

1352771120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30750 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 1352771120 is about 36780.0369765991. The cubic root of 1352771120 is about 1105.9651470824.

The spelling of 1352771120 in words is "one billion, three hundred fifty-two million, seven hundred seventy-one thousand, one hundred twenty".