212106242412 has 144 divisors (see below), whose sum is σ = 571549033440. Its totient is φ = 68020110720.

The previous prime is 212106242401. The next prime is 212106242429. The reversal of 212106242412 is 214242601212.

It is a happy number.

212106242412 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 0 + 6 + 242 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17949418 + ... + 17961230.

It is an arithmetic number, because the mean of its divisors is an integer number (3969090510).

Almost surely, 2^212106242412 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 212106242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285774516720).

212106242412 is an abundant number, since it is smaller than the sum of its proper divisors (359442791028).

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

212106242412 is a wasteful number, since it uses less digits than its factorization.

212106242412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212106242412 its reverse (214242601212), we get a palindrome (426348843624).

The spelling of 212106242412 in words is "two hundred twelve billion, one hundred six million, two hundred forty-two thousand, four hundred twelve".