312535434000 has 160 divisors (see below), whose sum is σ = 1007978235264. Its totient is φ = 83312678400.

The previous prime is 312535433963. The next prime is 312535434053. The reversal of 312535434000 is 434535213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20230279 + ... + 20245721.

Almost surely, 2^312535434000 is an apocalyptic number.

312535434000 is a gapful number since it is divisible by the number (30) 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 312535434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503989117632).

312535434000 is an abundant number, since it is smaller than the sum of its proper divisors (695442801264).

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

312535434000 is a wasteful number, since it uses less digits than its factorization.

312535434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18842 (or 18826 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 312535434000 its reverse (434535213), we get a palindrome (312969969213).

The spelling of 312535434000 in words is "three hundred twelve billion, five hundred thirty-five million, four hundred thirty-four thousand".