1220809125120 has 1152 divisors, whose sum is σ = 4519192559616. Its totient is φ = 278691840000.

The previous prime is 1220809125077. The next prime is 1220809125157. The reversal of 1220809125120 is 215219080221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4504830585 + ... + 4504830855.

It is an arithmetic number, because the mean of its divisors is an integer number (3922910208).

Almost surely, 2^{1220809125120} is an apocalyptic number.

1220809125120 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 1220809125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259596279808).

1220809125120 is an abundant number, since it is smaller than the sum of its proper divisors (3298383434496).

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

1220809125120 is a wasteful number, since it uses less digits than its factorization.

1220809125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 1220809125120 in words is "one trillion, two hundred twenty billion, eight hundred nine million, one hundred twenty-five thousand, one hundred twenty".