212120131032 has 192 divisors, whose sum is σ = 600067353600. Its totient is φ = 67616674560.

The previous prime is 212120130997. The next prime is 212120131087. The reversal of 212120131032 is 230131021212.

212120131032 is a `hidden beast` number, since 2 + 121 + 201 + 310 + 32 = 666.

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 = 212120130996 and 212120131014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113614563 + ... + 113616429.

It is an arithmetic number, because the mean of its divisors is an integer number (3125350800).

Almost surely, 2^212120131032 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 212120131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300033676800).

212120131032 is an abundant number, since it is smaller than the sum of its proper divisors (387947222568).

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

212120131032 is a wasteful number, since it uses less digits than its factorization.

212120131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2479 counting only the distinct ones).

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

Adding to 212120131032 its reverse (230131021212), we get a palindrome (442251152244).

The spelling of 212120131032 in words is "two hundred twelve billion, one hundred twenty million, one hundred thirty-one thousand, thirty-two".