312021430130430 has 256 divisors, whose sum is σ = 875655204480000. Its totient is φ = 78946273082880.

The previous prime is 312021430130413. The next prime is 312021430130503. The reversal of 312021430130430 is 34031034120213.

It is a happy number.

312021430130430 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 21 + 4 + 301 + 304 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312021430130394 and 312021430130403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288313245 + ... + 1288555415.

It is an arithmetic number, because the mean of its divisors is an integer number (3420528142500).

Almost surely, 2^{312021430130430} is an apocalyptic number.

312021430130430 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 312021430130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437827602240000).

312021430130430 is an abundant number, since it is smaller than the sum of its proper divisors (563633774349570).

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

312021430130430 is a wasteful number, since it uses less digits than its factorization.

312021430130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245064 (or 245058 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312021430130430 its reverse (34031034120213), we get a palindrome (346052464250643).

The spelling of 312021430130430 in words is "three hundred twelve trillion, twenty-one billion, four hundred thirty million, one hundred thirty thousand, four hundred thirty".