122044000221 has 72 divisors (see below), whose sum is σ = 208930700160. Its totient is φ = 68192372160.

The previous prime is 122044000207. The next prime is 122044000249. The reversal of 122044000221 is 122000440221.

122044000221 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 440 + 0 + 0 + 221 = 666.

It is not a de Polignac number, because 122044000221 - 2¹⁴ = 122043983837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122044000194 and 122044000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122044000261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12552400 + ... + 12562118.

It is an arithmetic number, because the mean of its divisors is an integer number (2901815280).

Almost surely, 2^122044000221 is an apocalyptic number.

122044000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122044000221 is a deficient number, since it is larger than the sum of its proper divisors (86886699939).

122044000221 is a wasteful number, since it uses less digits than its factorization.

122044000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10647 (or 10633 counting only the distinct ones).

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

Adding to 122044000221 its reverse (122000440221), we get a palindrome (244044440442).

Subtracting from 122044000221 its reverse (122000440221), we obtain a square (43560000 = 6600²).

The spelling of 122044000221 in words is "one hundred twenty-two billion, forty-four million, two hundred twenty-one", and thus it is an aban number.