221220022122 has 48 divisors (see below), whose sum is σ = 523309718880. Its totient is φ = 66981751200.

The previous prime is 221220022099. The next prime is 221220022141.

221220022122 is a `hidden beast` number, since 221 + 2 + 200 + 221 + 22 = 666.

221220022122 is nontrivially palindromic in base 10.

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 = 221220022095 and 221220022104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211204 + ... + 697887.

It is an arithmetic number, because the mean of its divisors is an integer number (10902285810).

Almost surely, 2^221220022122 is an apocalyptic number.

221220022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221220022122 is an abundant number, since it is smaller than the sum of its proper divisors (302089696758).

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

221220022122 is a wasteful number, since it uses less digits than its factorization.

221220022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910339 (or 910336 counting only the distinct ones).

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

It can be divided in two parts, 2212200 and 22122, that multiplied together give a square (48938288400 = 221220²).

The spelling of 221220022122 in words is "two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred twenty-two".