212201120000 has 540 divisors, whose sum is σ = 583981878480. Its totient is φ = 76704768000.

The previous prime is 212201119979. The next prime is 212201120101. The reversal of 212201120000 is 21102212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2556639959 + ... + 2556640041.

Almost surely, 2^212201120000 is an apocalyptic number.

212201120000 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 212201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291990939240).

212201120000 is an abundant number, since it is smaller than the sum of its proper divisors (371780758480).

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

212201120000 is an frugal number, since it uses more digits than its factorization.

212201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212201120000 its reverse (21102212), we get a palindrome (212222222212).

The spelling of 212201120000 in words is "two hundred twelve billion, two hundred one million, one hundred twenty thousand".