221220022122120 has 128 divisors (see below), whose sum is σ = 758542164906240. Its totient is φ = 50559675310080.

The previous prime is 221220022122089. The next prime is 221220022122263. The reversal of 221220022122120 is 21221220022122.

221220022122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221220022122120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 4088677 + ... + 21427956.

It is an arithmetic number, because the mean of its divisors is an integer number (5926110663330).

Almost surely, 2^{221220022122120} is an apocalyptic number.

221220022122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220022122120 is an abundant number, since it is smaller than the sum of its proper divisors (537322142784120).

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

221220022122120 is a wasteful number, since it uses less digits than its factorization.

221220022122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25526975 (or 25526971 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221220022122120 its reverse (21221220022122), we get a palindrome (242441242144242).

The spelling of 221220022122120 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".