212201231022000 has 720 divisors, whose sum is σ = 836668361526816. Its totient is φ = 50052359808000.

The previous prime is 212201231021953. The next prime is 212201231022023. The reversal of 212201231022000 is 220132102212.

212201231022000 is a `hidden beast` number, since 2 + 12 + 201 + 231 + 0 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79269387 + ... + 81902613.

Almost surely, 2^{212201231022000} is an apocalyptic number.

212201231022000 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 212201231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418334180763408).

212201231022000 is an abundant number, since it is smaller than the sum of its proper divisors (624467130504816).

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

212201231022000 is a wasteful number, since it uses less digits than its factorization.

212201231022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633315 (or 2633285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212201231022000 its reverse (220132102212), we get a palindrome (212421363124212).

The spelling of 212201231022000 in words is "two hundred twelve trillion, two hundred one billion, two hundred thirty-one million, twenty-two thousand".