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12120020120 = 235131710491307
BaseRepresentation
bin10110100100110100…
…01101010010011000
31011021122221211000002
423102122031102120
5144310211120440
65322354032132
7606226320425
oct132232152230
934248854002
1012120020120
11515a48755a
122422b78648
1311b1c97950
1482d940d4c
154ae07c115
hex2d268d498

12120020120 has 128 divisors (see below), whose sum is σ = 31148712000. Its totient is φ = 4204609536.

The previous prime is 12120020113. The next prime is 12120020123. The reversal of 12120020120 is 2102002121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9272507 + ... + 9273813.

Almost surely, 212120020120 is an apocalyptic number.

12120020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574356000).

12120020120 is an abundant number, since it is smaller than the sum of its proper divisors (19028691880).

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

12120020120 is a wasteful number, since it uses less digits than its factorization.

12120020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12120020120 its reverse (2102002121), we get a palindrome (14222022241).

The spelling of 12120020120 in words is "twelve billion, one hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1049 1105 1307 1768 2098 2210 2614 4196 4420 5228 5245 6535 8392 8840 10456 10490 13070 13637 16991 17833 20980 22219 26140 27274 33982 35666 41960 44438 52280 54548 67964 68185 71332 84955 88876 89165 109096 111095 135928 136370 142664 169910 177752 178330 222190 231829 272740 288847 339820 356660 444380 463658 545480 577694 679640 713320 888760 927316 1155388 1159145 1371043 1444235 1854632 2310776 2318290 2742086 2888470 4636580 5484172 5776940 6855215 9273160 10968344 11553880 13710430 17823559 23307731 27420860 35647118 46615462 54841720 71294236 89117795 93230924 116538655 142588472 178235590 186461848 233077310 303000503 356471180 466154620 606001006 712942360 932309240 1212002012 1515002515 2424004024 3030005030 6060010060 12120020120