212121022212000 has 480 divisors, whose sum is σ = 849332587207104. Its totient is φ = 51423277248000.

The previous prime is 212121022211981. The next prime is 212121022212007. The reversal of 212121022212000 is 212220121212.

It is a happy number.

212121022212000 is a `hidden beast` number, since 21 + 212 + 10 + 2 + 221 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×212121022212000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212121022212007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26194842 + ... + 33322841.

Almost surely, 2^{212121022212000} is an apocalyptic number.

212121022212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121022212000 is an abundant number, since it is smaller than the sum of its proper divisors (637211564995104).

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

212121022212000 is a wasteful number, since it uses less digits than its factorization.

212121022212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59517731 (or 59517704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212121022212000 its reverse (212220121212), we get a palindrome (212333242333212).

The spelling of 212121022212000 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty-two million, two hundred twelve thousand".