1275056133120 has 528 divisors, whose sum is σ = 5508216425088. Its totient is φ = 264945991680.

The previous prime is 1275056133119. The next prime is 1275056133121. The reversal of 1275056133120 is 213316505721.

1275056133120 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 0 + 5 + 613 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1275056133119) and next prime (1275056133121).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275056133121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368482 + ... + 3727838.

Almost surely, 2^{1275056133120} is an apocalyptic number.

1275056133120 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 1275056133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754108212544).

1275056133120 is an abundant number, since it is smaller than the sum of its proper divisors (4233160291968).

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

1275056133120 is a wasteful number, since it uses less digits than its factorization.

1275056133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359406 (or 359385 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1275056133120 in words is "one trillion, two hundred seventy-five billion, fifty-six million, one hundred thirty-three thousand, one hundred twenty".