1275405120 has 336 divisors, whose sum is σ = 4838565888. Its totient is φ = 305786880.

The previous prime is 1275405101. The next prime is 1275405137. The reversal of 1275405120 is 215045721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4023202 + ... + 4023518.

Almost surely, 2^1275405120 is an apocalyptic number.

1275405120 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 1275405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419282944).

1275405120 is an abundant number, since it is smaller than the sum of its proper divisors (3563160768).

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

1275405120 is a wasteful number, since it uses less digits than its factorization.

1275405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1275405120 is about 35712.8145068405. The cubic root of 1275405120 is about 1084.4662781643.

The spelling of 1275405120 in words is "one billion, two hundred seventy-five million, four hundred five thousand, one hundred twenty".