20010222222120 has 320 divisors, whose sum is σ = 72519596835840. Its totient is φ = 4919511283200.

The previous prime is 20010222222097. The next prime is 20010222222149. The reversal of 20010222222120 is 2122222201002.

20010222222120 is a `hidden beast` number, since 200 + 1 + 0 + 2 + 222 + 221 + 20 = 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 = 20010222222093 and 20010222222102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33866425 + ... + 34452215.

It is an arithmetic number, because the mean of its divisors is an integer number (226623740112).

Almost surely, 2^{20010222222120} is an apocalyptic number.

20010222222120 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 20010222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36259798417920).

20010222222120 is an abundant number, since it is smaller than the sum of its proper divisors (52509374613720).

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

20010222222120 is a wasteful number, since it uses less digits than its factorization.

20010222222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586638 (or 586625 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20010222222120 its reverse (2122222201002), we get a palindrome (22132444423122).

The spelling of 20010222222120 in words is "twenty trillion, ten billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".