1235085312 has 96 divisors (see below), whose sum is σ = 3373755840. Its totient is φ = 401571840.

The previous prime is 1235085311. The next prime is 1235085413. The reversal of 1235085312 is 2135805321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1235085312.

It is not an unprimeable number, because it can be changed into a prime (1235085311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249453 + ... + 254355.

It is an arithmetic number, because the mean of its divisors is an integer number (35143290).

Almost surely, 2^1235085312 is an apocalyptic number.

1235085312 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 1235085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686877920).

1235085312 is an abundant number, since it is smaller than the sum of its proper divisors (2138670528).

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

1235085312 is an equidigital number, since it uses as much as digits as its factorization.

1235085312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4949 counting only the distinct ones).

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

The square root of 1235085312 is about 35143.7805592967. The cubic root of 1235085312 is about 1072.9158283440.

The spelling of 1235085312 in words is "one billion, two hundred thirty-five million, eighty-five thousand, three hundred twelve".