212111121000 has 128 divisors (see below), whose sum is σ = 679673180160. Its totient is φ = 55034208000.

The previous prime is 212111120999. The next prime is 212111121029. The reversal of 212111121000 is 121111212.

212111121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×212111121000⁶ (a number of 69 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 844456 + ... + 1066455.

It is an arithmetic number, because the mean of its divisors is an integer number (5309946720).

Almost surely, 2^212111121000 is an apocalyptic number.

212111121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111121000 is an abundant number, since it is smaller than the sum of its proper divisors (467562059160).

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

212111121000 is a wasteful number, since it uses less digits than its factorization.

212111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910972 (or 1910958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212111121000 its reverse (121111212), we get a palindrome (212232232212).

The spelling of 212111121000 in words is "two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand".