212533252000 has 192 divisors, whose sum is σ = 554222541600. Its totient is φ = 79822848000.

The previous prime is 212533251883. The next prime is 212533252013. The reversal of 212533252000 is 252335212.

It can be written as a sum of positive squares in 16 ways, for example, as 4228640784 + 208304611216 = 65028^2 + 456404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30528520 + ... + 30535480.

Almost surely, 2^212533252000 is an apocalyptic number.

212533252000 is a gapful number since it is divisible by the number (20) 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 212533252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277111270800).

212533252000 is an abundant number, since it is smaller than the sum of its proper divisors (341689289600).

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

212533252000 is a wasteful number, since it uses less digits than its factorization.

212533252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 212533252000 its reverse (252335212), we get a palindrome (212785587212).

The spelling of 212533252000 in words is "two hundred twelve billion, five hundred thirty-three million, two hundred fifty-two thousand".