220021012122120 has 192 divisors, whose sum is σ = 799100705370240. Its totient is φ = 52037489894400.

The previous prime is 220021012122101. The next prime is 220021012122127. The reversal of 220021012122120 is 21221210120022.

It is a happy number.

220021012122120 is a `hidden beast` number, since 2 + 200 + 210 + 1 + 212 + 21 + 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 = 220021012122093 and 220021012122102.

It is not an unprimeable number, because it can be changed into a prime (220021012122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677409124 + ... + 677733843.

It is an arithmetic number, because the mean of its divisors is an integer number (4161982840470).

Almost surely, 2^{220021012122120} is an apocalyptic number.

220021012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021012122120 is an abundant number, since it is smaller than the sum of its proper divisors (579079693248120).

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

220021012122120 is a wasteful number, since it uses less digits than its factorization.

220021012122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355143036 (or 1355143029 counting only the distinct ones).

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

Adding to 220021012122120 its reverse (21221210120022), we get a palindrome (241242222242142).

The spelling of 220021012122120 in words is "two hundred twenty trillion, twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred twenty".