20012212122120 has 512 divisors, whose sum is σ = 71353638720000. Its totient is φ = 4971527995392.

The previous prime is 20012212122107. The next prime is 20012212122143. The reversal of 20012212122120 is 2122121221002.

It is a happy number.

20012212122120 is a `hidden beast` number, since 20 + 0 + 1 + 221 + 212 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20012212122093 and 20012212122102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 860025846 + ... + 860049114.

It is an arithmetic number, because the mean of its divisors is an integer number (139362575625).

Almost surely, 2^{20012212122120} is an apocalyptic number.

20012212122120 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 20012212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35676819360000).

20012212122120 is an abundant number, since it is smaller than the sum of its proper divisors (51341426597880).

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

20012212122120 is a wasteful number, since it uses less digits than its factorization.

20012212122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23782 (or 23772 counting only the distinct ones).

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

Adding to 20012212122120 its reverse (2122121221002), we get a palindrome (22134333343122).

The spelling of 20012212122120 in words is "twenty trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".