211251341532000 has 1920 divisors, whose sum is σ = 883605907312128. Its totient is φ = 43754199552000.

The previous prime is 211251341531917. The next prime is 211251341532019. The reversal of 211251341532000 is 235143152112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 118215635107 + ... + 118215636893.

Almost surely, 2^{211251341532000} is an apocalyptic number.

211251341532000 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 211251341532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441802953656064).

211251341532000 is an abundant number, since it is smaller than the sum of its proper divisors (672354565780128).

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

211251341532000 is a wasteful number, since it uses less digits than its factorization.

211251341532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 211251341532000 its reverse (235143152112), we get a palindrome (211486484684112).

The spelling of 211251341532000 in words is "two hundred eleven trillion, two hundred fifty-one billion, three hundred forty-one million, five hundred thirty-two thousand".