312535132000 has 576 divisors, whose sum is σ = 1003996715904. Its totient is φ = 94593945600.

The previous prime is 312535131967. The next prime is 312535132009. The reversal of 312535132000 is 231535213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312535132009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58601334 + ... + 58606666.

It is an arithmetic number, because the mean of its divisors is an integer number (1743049854).

Almost surely, 2^312535132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312535132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501998357952).

312535132000 is an abundant number, since it is smaller than the sum of its proper divisors (691461583904).

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

312535132000 is a wasteful number, since it uses less digits than its factorization.

312535132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 312535132000 its reverse (231535213), we get a palindrome (312766667213).

The spelling of 312535132000 in words is "three hundred twelve billion, five hundred thirty-five million, one hundred thirty-two thousand".