20332102212000 has 1152 divisors, whose sum is σ = 79222004080128. Its totient is φ = 4922615808000.

The previous prime is 20332102211933. The next prime is 20332102212001. The reversal of 20332102212000 is 21220123302.

20332102212000 is a `hidden beast` number, since 2 + 0 + 33 + 210 + 221 + 200 + 0 = 666.

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 (20332102212001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1256067907 + ... + 1256084093.

It is an arithmetic number, because the mean of its divisors is an integer number (68769100764).

Almost surely, 2^{20332102212000} is an apocalyptic number.

20332102212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39611002040064).

20332102212000 is an abundant number, since it is smaller than the sum of its proper divisors (58889901868128).

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

20332102212000 is a wasteful number, since it uses less digits than its factorization.

20332102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16319 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20332102212000 its reverse (21220123302), we get a palindrome (20353322335302).

The spelling of 20332102212000 in words is "twenty trillion, three hundred thirty-two billion, one hundred two million, two hundred twelve thousand".