1266525120 has 448 divisors, whose sum is σ = 4874849280. Its totient is φ = 272498688.

The previous prime is 1266525089. The next prime is 1266525191. The reversal of 1266525120 is 215256621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13056912 + ... + 13057008.

It is an arithmetic number, because the mean of its divisors is an integer number (10881360).

Almost surely, 2^1266525120 is an apocalyptic number.

1266525120 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 1266525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437424640).

1266525120 is an abundant number, since it is smaller than the sum of its proper divisors (3608324160).

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

1266525120 is a wasteful number, since it uses less digits than its factorization.

1266525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1266525120 is about 35588.2722255521. The cubic root of 1266525120 is about 1081.9435510723.

The spelling of 1266525120 in words is "one billion, two hundred sixty-six million, five hundred twenty-five thousand, one hundred twenty".