212011200000 has 360 divisors, whose sum is σ = 764851343256. Its totient is φ = 56532480000.

The previous prime is 212011199941. The next prime is 212011200007. The reversal of 212011200000 is 2110212.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011200007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14392639 + ... + 14407361.

Almost surely, 2^212011200000 is an apocalyptic number.

212011200000 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 212011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382425671628).

212011200000 is an abundant number, since it is smaller than the sum of its proper divisors (552840143256).

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

212011200000 is an frugal number, since it uses more digits than its factorization.

212011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212011200000 its reverse (2110212), we get a palindrome (212013310212).

The spelling of 212011200000 in words is "two hundred twelve billion, eleven million, two hundred thousand".