1259825120 has 192 divisors, whose sum is σ = 3316432896. Its totient is φ = 450109440.

The previous prime is 1259825117. The next prime is 1259825123. The reversal of 1259825120 is 215289521.

It is an interprime number because it is at equal distance from previous prime (1259825117) and next prime (1259825123).

It is a super-3 number, since 3×1259825120³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259825123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5649329 + ... + 5649551.

It is an arithmetic number, because the mean of its divisors is an integer number (17273088).

Almost surely, 2^1259825120 is an apocalyptic number.

1259825120 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 1259825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658216448).

1259825120 is an abundant number, since it is smaller than the sum of its proper divisors (2056607776).

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

1259825120 is a wasteful number, since it uses less digits than its factorization.

1259825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 1259825120 is about 35494.0152701832. The cubic root of 1259825120 is about 1080.0323264215.

The spelling of 1259825120 in words is "one billion, two hundred fifty-nine million, eight hundred twenty-five thousand, one hundred twenty".