212546138112 has 936 divisors, whose sum is σ = 821571716160. Its totient is φ = 52208271360.

The previous prime is 212546138107. The next prime is 212546138137. The reversal of 212546138112 is 211831645212.

212546138112 is a `hidden beast` number, since 2 + 1 + 25 + 4 + 613 + 8 + 1 + 12 = 666.

It is a super-3 number, since 3×212546138112³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377523943 + ... + 377524505.

It is an arithmetic number, because the mean of its divisors is an integer number (877747560).

Almost surely, 2^212546138112 is an apocalyptic number.

212546138112 is a gapful number since it is divisible by the number (22) 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 212546138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410785858080).

212546138112 is an abundant number, since it is smaller than the sum of its proper divisors (609025578048).

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

212546138112 is a wasteful number, since it uses less digits than its factorization.

212546138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 605 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Subtracting from 212546138112 its reverse (211831645212), we obtain a square (714492900 = 26730²).

The spelling of 212546138112 in words is "two hundred twelve billion, five hundred forty-six million, one hundred thirty-eight thousand, one hundred twelve".