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120023001112 = 237174315119417
BaseRepresentation
bin110111111000111101…
…1011010100000011000
3102110210121110012002111
41233301323122200120
53431301342013422
6131045433242104
711446165451020
oct1576173324030
9373717405074
10120023001112
11469a0945203
121b317563334
13b419bab7b1
145b48412a80
1531c6eeaa77
hex1bf1eda818

120023001112 has 128 divisors (see below), whose sum is σ = 280513981440. Its totient is φ = 46971187200.

The previous prime is 120023001067. The next prime is 120023001149. The reversal of 120023001112 is 211100320021.

It is a junction number, because it is equal to n+sod(n) for n = 120023001092 and 120023001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6171628 + ... + 6191044.

It is an arithmetic number, because the mean of its divisors is an integer number (2191515480).

Almost surely, 2120023001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120023001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140256990720).

120023001112 is an abundant number, since it is smaller than the sum of its proper divisors (160490980328).

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

120023001112 is a wasteful number, since it uses less digits than its factorization.

120023001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19641 (or 19637 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120023001112 its reverse (211100320021), we get a palindrome (331123321133).

The spelling of 120023001112 in words is "one hundred twenty billion, twenty-three million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 151 172 238 301 302 344 476 602 604 731 952 1057 1204 1208 1462 2114 2408 2567 2924 4228 5117 5134 5848 6493 8456 10234 10268 12986 17969 19417 20468 20536 25972 35938 38834 40936 45451 51944 71876 77668 90902 110381 135919 143752 155336 181804 220762 271838 330089 363608 441524 543676 660178 772667 834931 883048 1087352 1320356 1545334 1669862 2310623 2640712 2931967 3090668 3339724 4621246 5844517 5863934 6181336 6679448 9242492 11689034 11727868 14193827 18484984 20523769 23378068 23455736 28387654 41047538 46756136 49843439 56775308 82095076 99356789 99686878 113550616 126074581 164190152 198713578 199373756 252149162 348904073 397427156 398747512 504298324 697808146 794854312 882522067 1008596648 1395616292 1765044134 2143267877 2791232584 3530088268 4286535754 7060176536 8573071508 15002875139 17146143016 30005750278 60011500556 120023001112