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122003121123 = 321334716011877
BaseRepresentation
bin111000110011111110…
…0111110001111100011
3102122220121101201002200
41301213330332033203
53444330244333443
6132014130144243
711546231263452
oct1614774761743
9378817351080
10122003121123
1147817643724
121b78a722083
13b6741b5240
145c953b4b99
153290c82dd3
hex1c67f3e3e3

122003121123 has 48 divisors (see below), whose sum is σ = 190549902816. Its totient is φ = 74775859200.

The previous prime is 122003121091. The next prime is 122003121127. The reversal of 122003121123 is 321121300221.

It is not a de Polignac number, because 122003121123 - 25 = 122003121091 is a prime.

It is a super-2 number, since 2×1220031211232 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 122003121096 and 122003121105.

It is not an unprimeable number, because it can be changed into a prime (122003121127) 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, 64998061 + ... + 64999937.

It is an arithmetic number, because the mean of its divisors is an integer number (3969789642).

Almost surely, 2122003121123 is an apocalyptic number.

122003121123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122003121123 is a deficient number, since it is larger than the sum of its proper divisors (68546781693).

122003121123 is a wasteful number, since it uses less digits than its factorization.

122003121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122003121123 its reverse (321121300221), we get a palindrome (443124421344).

The spelling of 122003121123 in words is "one hundred twenty-two billion, three million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 13 39 117 347 1041 1601 1877 3123 4511 4803 5631 13533 14409 16893 20813 24401 40599 62439 73203 187317 219609 555547 651319 1666641 1953957 3005077 4999923 5861871 7222111 8467147 9015231 21666333 25401441 27045693 39066001 64998999 76204323 117198003 351594009 1042761719 3128285157 9384855471 13555902347 40667707041 122003121123