220212210200120 has 128 divisors (see below), whose sum is σ = 513703193149440. Its totient is φ = 84890969210880.

The previous prime is 220212210200069. The next prime is 220212210200161. The reversal of 220212210200120 is 21002012212022.

It is a happy number.

It is a super-3 number, since 3×220212210200120³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259299785 + ... + 260147655.

It is an arithmetic number, because the mean of its divisors is an integer number (4013306196480).

Almost surely, 2^{220212210200120} is an apocalyptic number.

220212210200120 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 220212210200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256851596574720).

220212210200120 is an abundant number, since it is smaller than the sum of its proper divisors (293490982949320).

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

220212210200120 is a wasteful number, since it uses less digits than its factorization.

220212210200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849585 (or 849581 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220212210200120 its reverse (21002012212022), we get a palindrome (241214222412142).

The spelling of 220212210200120 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred ten million, two hundred thousand, one hundred twenty".