211012121222000 has 320 divisors, whose sum is σ = 592764045339648. Its totient is φ = 71150451840000.

The previous prime is 211012121221987. The next prime is 211012121222017. The reversal of 211012121222000 is 222121210112.

It is a super-2 number, since 2×211012121222000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211012121222000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7620228155 + ... + 7620255845.

Almost surely, 2^{211012121222000} is an apocalyptic number.

211012121222000 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 211012121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296382022669824).

211012121222000 is an abundant number, since it is smaller than the sum of its proper divisors (381751924117648).

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

211012121222000 is a wasteful number, since it uses less digits than its factorization.

211012121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36705 (or 36689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211012121222000 its reverse (222121210112), we get a palindrome (211234242432112).

The spelling of 211012121222000 in words is "two hundred eleven trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand".