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12122244222121 = 1110129473370207
BaseRepresentation
bin1011000001100110111000…
…0011111000110010101001
31120220212122001011000021201
42300121232003320302221
53042102324010101441
641440514312004201
72360542340525365
oct260315603706251
946825561130251
1012122244222121
113954018923250
121439457090661
1369c17981cb27
142dca10dd42a5
151604d9e2ac31
hexb066e0f8ca9

12122244222121 has 16 divisors (see below), whose sum is σ = 13355688964608. Its totient is φ = 10910711232000.

The previous prime is 12122244222119. The next prime is 12122244222139.

It is a happy number.

12122244222121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12122244222121 - 21 = 12122244222119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122244222121.

It is not an unprimeable number, because it can be changed into a prime (12122244222161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32559400 + ... + 32929606.

It is an arithmetic number, because the mean of its divisors is an integer number (834730560288).

Almost surely, 212122244222121 is an apocalyptic number.

12122244222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122244222121 is a deficient number, since it is larger than the sum of its proper divisors (1233444742487).

12122244222121 is a wasteful number, since it uses less digits than its factorization.

12122244222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399792.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1212224 and 4222121, that added together give a palindrome (5434345).

The spelling of 12122244222121 in words is "twelve trillion, one hundred twenty-two billion, two hundred forty-four million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 101 1111 29473 324203 370207 2976773 4072277 32744503 37390907 411299977 10911110911 120022220021 1102022202011 12122244222121