312021110000128 has 80 divisors (see below), whose sum is σ = 660369093405120. Its totient is φ = 146774790291456.

The previous prime is 312021110000101. The next prime is 312021110000129. The reversal of 312021110000128 is 821000011120213.

It is a junction number, because it is equal to n+sod(n) for n = 312021110000099 and 312021110000108.

It is not an unprimeable number, because it can be changed into a prime (312021110000129) 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, 14625103 + ... + 28947121.

It is an arithmetic number, because the mean of its divisors is an integer number (8254613667564).

Almost surely, 2^{312021110000128} 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 312021110000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330184546702560).

312021110000128 is an abundant number, since it is smaller than the sum of its proper divisors (348347983404992).

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

312021110000128 is a wasteful number, since it uses less digits than its factorization.

312021110000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14324557 (or 14324541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 312021110000128 in words is "three hundred twelve trillion, twenty-one billion, one hundred ten million, one hundred twenty-eight", and thus it is an aban number.