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122444444221 = 1125144347861
BaseRepresentation
bin111001000001001000…
…0011111001000111101
3102201001100211020120121
41302002100133020331
54001231234203341
6132130013214541
711563200413641
oct1620220371075
9381040736517
10122444444221
1147a23773260
121b892491451
13b714764678
145cd7c54c21
1532b98aa4d1
hex1c8241f23d

122444444221 has 8 divisors (see below), whose sum is σ = 134107934688. Its totient is φ = 110869650000.

The previous prime is 122444444197. The next prime is 122444444237.

122444444221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122444444221 - 213 = 122444436029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122444444251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22171170 + ... + 22176691.

It is an arithmetic number, because the mean of its divisors is an integer number (16763491836).

Almost surely, 2122444444221 is an apocalyptic number.

122444444221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122444444221 is a deficient number, since it is larger than the sum of its proper divisors (11663490467).

122444444221 is a wasteful number, since it uses less digits than its factorization.

122444444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44348123.

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 122444 and 444221, that added together give a palindrome (566665).

The spelling of 122444444221 in words is "one hundred twenty-two billion, four hundred forty-four million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 11 251 2761 44347861 487826471 11131313111 122444444221