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123102121122 = 232109169736973
BaseRepresentation
bin111001010100101110…
…1010100110010100010
3102202202012100200200100
41302221131110302202
54004103120333442
6132315145403230
711615404523211
oct1625135246242
9382665320610
10123102121122
1148230a35692
121ba36799516
13b7baaa59b6
145d5b333078
1533074bc84c
hex1ca9754ca2

123102121122 has 48 divisors (see below), whose sum is σ = 269334145080. Its totient is φ = 40632523776.

The previous prime is 123102121081. The next prime is 123102121157. The reversal of 123102121122 is 221121201321.

It can be written as a sum of positive squares in 4 ways, for example, as 119881445121 + 3220676001 = 346239^2 + 56751^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123102121095 and 123102121104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3311028 + ... + 3348000.

Almost surely, 2123102121122 is an apocalyptic number.

123102121122 is an abundant number, since it is smaller than the sum of its proper divisors (146232023958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123102121122 is a wasteful number, since it uses less digits than its factorization.

123102121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38787 (or 38784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123102121122 its reverse (221121201321), we get a palindrome (344223322443).

The spelling of 123102121122 in words is "one hundred twenty-three billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 109 218 327 654 981 1697 1962 3394 5091 10182 15273 30546 36973 73946 110919 184973 221838 332757 369946 554919 665514 1109838 1664757 3329514 4030057 8060114 12090171 24180342 36270513 62743181 72541026 125486362 188229543 376459086 564688629 1129377258 6839006729 13678013458 20517020187 41034040374 61551060561 123102121122