212011222122000 has 640 divisors, whose sum is σ = 868100780851200. Its totient is φ = 48452250816000.

The previous prime is 212011222121999. The next prime is 212011222122053. The reversal of 212011222122000 is 221222110212.

It is a happy number.

212011222122000 is a `hidden beast` number, since 21 + 201 + 1 + 2 + 221 + 220 + 0 + 0 = 666.

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

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, 2675822385 + ... + 2675901615.

It is an arithmetic number, because the mean of its divisors is an integer number (1356407470080).

Almost surely, 2^{212011222122000} is an apocalyptic number.

212011222122000 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 212011222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434050390425600).

212011222122000 is an abundant number, since it is smaller than the sum of its proper divisors (656089558729200).

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

212011222122000 is a wasteful number, since it uses less digits than its factorization.

212011222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86349 (or 86327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212011222122000 its reverse (221222110212), we get a palindrome (212232444232212).

The spelling of 212011222122000 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-two million, one hundred twenty-two thousand".