211132223121000 has 64 divisors (see below), whose sum is σ = 658732536146880. Its totient is φ = 56301926164800.

The previous prime is 211132223120947. The next prime is 211132223121031. The reversal of 211132223121000 is 121322231112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35188700854 + ... + 35188706853.

It is an arithmetic number, because the mean of its divisors is an integer number (10292695877295).

Almost surely, 2^{211132223121000} is an apocalyptic number.

211132223121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132223121000 is an abundant number, since it is smaller than the sum of its proper divisors (447600313025880).

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

211132223121000 is a wasteful number, since it uses less digits than its factorization.

211132223121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70377407731 (or 70377407717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211132223121000 its reverse (121322231112), we get a palindrome (211253545352112).

The spelling of 211132223121000 in words is "two hundred eleven trillion, one hundred thirty-two billion, two hundred twenty-three million, one hundred twenty-one thousand".