213112110000120 has 256 divisors, whose sum is σ = 681031286784000. Its totient is φ = 53247860176896.

The previous prime is 213112110000103. The next prime is 213112110000133. The reversal of 213112110000120 is 21000011211312.

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 213112110000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47154361 + ... + 51475799.

It is an arithmetic number, because the mean of its divisors is an integer number (2660278464000).

Almost surely, 2^{213112110000120} is an apocalyptic number.

213112110000120 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 213112110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340515643392000).

213112110000120 is an abundant number, since it is smaller than the sum of its proper divisors (467919176783880).

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

213112110000120 is a wasteful number, since it uses less digits than its factorization.

213112110000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321902 (or 4321898 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213112110000120 its reverse (21000011211312), we get a palindrome (234112121211432).

The spelling of 213112110000120 in words is "two hundred thirteen trillion, one hundred twelve billion, one hundred ten million, one hundred twenty", and thus it is an aban number.