312125523435450 has 144 divisors (see below), whose sum is σ = 858468657926880. Its totient is φ = 81260896429440.

The previous prime is 312125523435353. The next prime is 312125523435499. The reversal of 312125523435450 is 54534325521213.

312125523435450 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 552 + 3 + 43 + 5 + 4 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 312125523435396 and 312125523435405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38967016 + ... + 46289084.

It is an arithmetic number, because the mean of its divisors is an integer number (5961587902270).

Almost surely, 2^{312125523435450} is an apocalyptic number.

312125523435450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312125523435450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429234328963440).

312125523435450 is an abundant number, since it is smaller than the sum of its proper divisors (546343134491430).

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

312125523435450 is a wasteful number, since it uses less digits than its factorization.

312125523435450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324333 (or 7324325 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 312125523435450 its reverse (54534325521213), we get a palindrome (366659848956663).

The spelling of 312125523435450 in words is "three hundred twelve trillion, one hundred twenty-five billion, five hundred twenty-three million, four hundred thirty-five thousand, four hundred fifty".