212122120011000 has 64 divisors (see below), whose sum is σ = 661821014443680. Its totient is φ = 56565898668800.

The previous prime is 212122120010987. The next prime is 212122120011031. The reversal of 212122120011000 is 110021221212.

It is a super-3 number, since 3×212122120011000³ (a number of 44 digits) contains 333 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35353683669 + ... + 35353689668.

Almost surely, 2^{212122120011000} is an apocalyptic number.

212122120011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122120011000 is an abundant number, since it is smaller than the sum of its proper divisors (449698894432680).

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

212122120011000 is a wasteful number, since it uses less digits than its factorization.

212122120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70707373361 (or 70707373347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212122120011000 its reverse (110021221212), we get a palindrome (212232141232212).

The spelling of 212122120011000 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twenty million, eleven thousand".