212300103120 has 320 divisors, whose sum is σ = 796979990016. Its totient is φ = 45637632000.

The previous prime is 212300103109. The next prime is 212300103121. The reversal of 212300103120 is 21301003212.

212300103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212300103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70741620 + ... + 70744620.

Almost surely, 2^212300103120 is an apocalyptic number.

212300103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212300103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398489995008).

212300103120 is an abundant number, since it is smaller than the sum of its proper divisors (584679886896).

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

212300103120 is a wasteful number, since it uses less digits than its factorization.

212300103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212300103120 its reverse (21301003212), we get a palindrome (233601106332).

The spelling of 212300103120 in words is "two hundred twelve billion, three hundred million, one hundred three thousand, one hundred twenty".