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122003211121 = 11227131311887
BaseRepresentation
bin111000110011111110…
…1010100001101110001
3102122220121120021112221
41301213331110031301
53444330310223441
6132014132121041
711546232120031
oct1614775241561
9378817507487
10122003211121
11478176a5300
121b78a766181
13b6742171ac
145c953d98c1
153290c9e8d1
hex1c67f54371

122003211121 has 24 divisors (see below), whose sum is σ = 135038930432. Its totient is φ = 110140430400.

The previous prime is 122003211079. The next prime is 122003211131. The reversal of 122003211121 is 121112300221.

It is not a de Polignac number, because 122003211121 - 213 = 122003202929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122003211095 and 122003211104.

It is not an unprimeable number, because it can be changed into a prime (122003211131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10257640 + ... + 10269526.

Almost surely, 2122003211121 is an apocalyptic number.

122003211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122003211121 is a deficient number, since it is larger than the sum of its proper divisors (13035719311).

122003211121 is a wasteful number, since it uses less digits than its factorization.

122003211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122003211121 its reverse (121112300221), we get a palindrome (243115511342).

The spelling of 122003211121 in words is "one hundred twenty-two billion, three million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 121 271 313 2981 3443 11887 32791 37873 84823 130757 933053 1438327 3221377 3720631 10263583 35435147 40926941 389786617 450196351 1008291001 11091201011 122003211121