Search a number
-
+
120212021121102 = 2321910133710326913
BaseRepresentation
bin11011010101010100001010…
…110100010001000001001110
3120202122011020102220221111100
4123111110022310101001032
5111224023204401333402
61103400350133203530
734215013643033361
oct3325241264210116
9522564212827440
10120212021121102
11353376a5002639
1211595a8a7905a6
13520cc39097151
1421984158aa0d8
15dd6ecd11d71c
hex6d550ad1104e

120212021121102 has 96 divisors (see below), whose sum is σ = 277703935909920. Its totient is φ = 37474298265600.

The previous prime is 120212021121091. The next prime is 120212021121163. The reversal of 120212021121102 is 201121120212021.

120212021121102 is a `hidden beast` number, since 120 + 2 + 120 + 211 + 211 + 0 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6477198 + ... + 16804110.

It is an arithmetic number, because the mean of its divisors is an integer number (2892749332395).

Almost surely, 2120212021121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212021121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138851967954960).

120212021121102 is an abundant number, since it is smaller than the sum of its proper divisors (157491914788818).

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

120212021121102 is a wasteful number, since it uses less digits than its factorization.

120212021121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327378 (or 10327375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120212021121102 its reverse (201121120212021), we get a palindrome (321333141333123).

The spelling of 120212021121102 in words is "one hundred twenty trillion, two hundred twelve billion, twenty-one million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 337 342 606 674 909 1011 1818 1919 2022 3033 3838 5757 6066 6403 11514 12806 17271 19209 34037 34542 38418 57627 68074 102111 115254 204222 306333 612666 646703 1293406 1940109 3880218 5820327 10326913 11640654 20653826 30980739 61961478 92942217 185884434 196211347 392422694 588634041 1043018213 1177268082 1765902123 2086036426 3129054639 3480169681 3531804246 6258109278 6960339362 9387163917 10440509043 18774327834 19817346047 20881018086 31321527129 39634692094 59452038141 62643054258 66123223939 118904076282 132246447878 178356114423 198369671817 351497137781 356712228846 396739343634 595109015451 702994275562 1054491413343 1190218030902 2108982826686 3163474240029 6326948480058 6678445617839 13356891235678 20035336853517 40070673707034 60106010560551 120212021121102