212001132000 has 768 divisors, whose sum is σ = 814368522240. Its totient is φ = 47215872000.

The previous prime is 212001131981. The next prime is 212001132017. The reversal of 212001132000 is 231100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 782291865 + ... + 782292135.

It is an arithmetic number, because the mean of its divisors is an integer number (1060375680).

Almost surely, 2^212001132000 is an apocalyptic number.

212001132000 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 212001132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407184261120).

212001132000 is an abundant number, since it is smaller than the sum of its proper divisors (602367390240).

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

212001132000 is a wasteful number, since it uses less digits than its factorization.

212001132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212001132000 its reverse (231100212), we get a palindrome (212232232212).

The spelling of 212001132000 in words is "two hundred twelve billion, one million, one hundred thirty-two thousand".