221056322123340 has 144 divisors (see below), whose sum is σ = 731688344858016. Its totient is φ = 53575281100800.

The previous prime is 221056322123321. The next prime is 221056322123359. The reversal of 221056322123340 is 43321223650122.

221056322123340 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 5 + 632 + 2 + 12 + 3 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221056322123321) and next prime (221056322123359).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221056322123295 and 221056322123304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7207051 + ... + 22227330.

It is an arithmetic number, because the mean of its divisors is an integer number (5081169061514).

Almost surely, 2^{221056322123340} is an apocalyptic number.

221056322123340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221056322123340 is an abundant number, since it is smaller than the sum of its proper divisors (510632022734676).

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

221056322123340 is a wasteful number, since it uses less digits than its factorization.

221056322123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29438200 (or 29438195 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 221056322123340 its reverse (43321223650122), we get a palindrome (264377545773462).

The spelling of 221056322123340 in words is "two hundred twenty-one trillion, fifty-six billion, three hundred twenty-two million, one hundred twenty-three thousand, three hundred forty".