830100012122112 has 240 divisors, whose sum is σ = 2216387054066304. Its totient is φ = 276343455744000.

The previous prime is 830100012122081. The next prime is 830100012122113. The reversal of 830100012122112 is 211221210001038.

It is a happy number.

It is a super-3 number, since 3×830100012122112³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830100012122113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165655557687 + ... + 165655562697.

Almost surely, 2^{830100012122112} 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 830100012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108193527033152).

830100012122112 is an abundant number, since it is smaller than the sum of its proper divisors (1386287041944192).

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

830100012122112 is a wasteful number, since it uses less digits than its factorization.

830100012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 830100012122112 in words is "eight hundred thirty trillion, one hundred billion, twelve million, one hundred twenty-two thousand, one hundred twelve".