212133513152 has 112 divisors (see below), whose sum is σ = 480433075200. Its totient is φ = 91992130560.

The previous prime is 212133513149. The next prime is 212133513161. The reversal of 212133513152 is 251315331212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6281849 + ... + 6315527.

Almost surely, 2^212133513152 is an apocalyptic number.

212133513152 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 212133513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240216537600).

212133513152 is an abundant number, since it is smaller than the sum of its proper divisors (268299562048).

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

212133513152 is a wasteful number, since it uses less digits than its factorization.

212133513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34114 (or 34104 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

Adding to 212133513152 its reverse (251315331212), we get a palindrome (463448844364).

The spelling of 212133513152 in words is "two hundred twelve billion, one hundred thirty-three million, five hundred thirteen thousand, one hundred fifty-two".