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122201222121 = 32113750776571
BaseRepresentation
bin111000111001111000…
…0101010101111101001
3102200102102011021120200
41301303300222233221
54000232003101441
6132045524142413
711554155151416
oct1616360525751
9380372137520
10122201222121
1147909449960
121b824b37a09
13b6a6256074
145cb382110d
1532a33647b6
hex1c73c2abe9

122201222121 has 48 divisors (see below), whose sum is σ = 197832867648. Its totient is φ = 72034531200.

The previous prime is 122201222119. The next prime is 122201222131. The reversal of 122201222121 is 121222102221.

It is a happy number.

122201222121 is a `hidden beast` number, since 122 + 201 + 222 + 121 = 666.

It is not a de Polignac number, because 122201222121 - 21 = 122201222119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122201222094 and 122201222103.

It is not an unprimeable number, because it can be changed into a prime (122201222131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18593766 + ... + 18600336.

It is an arithmetic number, because the mean of its divisors is an integer number (4121518076).

Almost surely, 2122201222121 is an apocalyptic number.

122201222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201222121 is a deficient number, since it is larger than the sum of its proper divisors (75631645527).

122201222121 is a wasteful number, since it uses less digits than its factorization.

122201222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122201222121 its reverse (121222102221), we get a palindrome (243423324342).

The spelling of 122201222121 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 5077 6571 15231 19713 45693 55847 59139 72281 167541 187849 216843 243127 502623 563547 650529 729381 1690641 2066339 2188143 2674397 6199017 8023191 18597051 24069573 33360967 100082901 300248703 366970637 1100911911 1234355779 3302735733 3703067337 11109202011 13577913569 40733740707 122201222121