211212221121000 has 192 divisors, whose sum is σ = 778797062971200. Its totient is φ = 51202962672000.

The previous prime is 211212221120983. The next prime is 211212221121037. The reversal of 211212221121000 is 121122212112.

211212221121000 is a `hidden beast` number, since 21 + 1 + 212 + 221 + 1 + 210 + 0 + 0 = 666.

It is a super-2 number, since 2×211212221121000² (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066629390 + ... + 1066827389.

It is an arithmetic number, because the mean of its divisors is an integer number (4056234702975).

Almost surely, 2^{211212221121000} is an apocalyptic number.

211212221121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212221121000 is an abundant number, since it is smaller than the sum of its proper divisors (567584841850200).

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

211212221121000 is a wasteful number, since it uses less digits than its factorization.

211212221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133456817 (or 2133456800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211212221121000 its reverse (121122212112), we get a palindrome (211333343333112).

The spelling of 211212221121000 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand".