212255301025152 has 1536 divisors, whose sum is σ = 842394683289600. Its totient is φ = 51847644119040.

The previous prime is 212255301025133. The next prime is 212255301025181. The reversal of 212255301025152 is 251520103552212.

212255301025152 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 5 + 5 + 30 + 102 + 515 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69889791378 + ... + 69889794414.

It is an arithmetic number, because the mean of its divisors is an integer number (548434038600).

Almost surely, 2^{212255301025152} is an apocalyptic number.

212255301025152 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 212255301025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421197341644800).

212255301025152 is an abundant number, since it is smaller than the sum of its proper divisors (630139382264448).

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

212255301025152 is a wasteful number, since it uses less digits than its factorization.

212255301025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 212255301025152 its reverse (251520103552212), we get a palindrome (463775404577364).

The spelling of 212255301025152 in words is "two hundred twelve trillion, two hundred fifty-five billion, three hundred one million, twenty-five thousand, one hundred fifty-two".