212113032120 has 192 divisors, whose sum is σ = 752579942400. Its totient is φ = 51384226560.

The previous prime is 212113032107. The next prime is 212113032121. The reversal of 212113032120 is 21230311212.

212113032120 is a `hidden beast` number, since 212 + 1 + 130 + 321 + 2 + 0 = 666.

212113032120 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 212113032093 and 212113032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212113032121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5679829 + ... + 5717051.

It is an arithmetic number, because the mean of its divisors is an integer number (3919687200).

Almost surely, 2^212113032120 is an apocalyptic number.

212113032120 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 212113032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376289971200).

212113032120 is an abundant number, since it is smaller than the sum of its proper divisors (540466910280).

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

212113032120 is a wasteful number, since it uses less digits than its factorization.

212113032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38690 (or 38683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212113032120 its reverse (21230311212), we get a palindrome (233343343332).

The spelling of 212113032120 in words is "two hundred twelve billion, one hundred thirteen million, thirty-two thousand, one hundred twenty".