1285120512 has 160 divisors (see below), whose sum is σ = 4097237760. Its totient is φ = 395366400.

The previous prime is 1285120481. The next prime is 1285120547. The reversal of 1285120512 is 2150215821.

It is a happy number.

1285120512 is a `hidden beast` number, since 1 + 28 + 5 + 120 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176137 + ... + 183287.

It is an arithmetic number, because the mean of its divisors is an integer number (25607736).

Almost surely, 2^1285120512 is an apocalyptic number.

1285120512 is a gapful number since it is divisible by the number (12) 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 1285120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048618880).

1285120512 is an abundant number, since it is smaller than the sum of its proper divisors (2812117248).

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

1285120512 is an equidigital number, since it uses as much as digits as its factorization.

1285120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1285120512 is about 35848.5775450017. The cubic root of 1285120512 is about 1087.2129544431.

The spelling of 1285120512 in words is "one billion, two hundred eighty-five million, one hundred twenty thousand, five hundred twelve".