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123012020120 = 235112419071279
BaseRepresentation
bin111001010010000010…
…1100111011110011000
3102202111220211002100012
41302210011213132120
54003412034120440
6132302210301052
711613231630113
oct1624405473630
9382456732305
10123012020120
1148195095450
121ba10587788
13b7a5219ab2
145d4d39b57a
1532ee620e65
hex1ca4167798

123012020120 has 128 divisors (see below), whose sum is σ = 303763046400. Its totient is φ = 44462131200.

The previous prime is 123012020119. The next prime is 123012020149. The reversal of 123012020120 is 21020210321.

It is a happy number.

123012020120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123012020095 and 123012020104.

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, 96177641 + ... + 96178919.

It is an arithmetic number, because the mean of its divisors is an integer number (2373148800).

Almost surely, 2123012020120 is an apocalyptic number.

123012020120 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 123012020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151881523200).

123012020120 is an abundant number, since it is smaller than the sum of its proper divisors (180751026280).

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

123012020120 is a wasteful number, since it uses less digits than its factorization.

123012020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 123012020120 its reverse (21020210321), we get a palindrome (144032230441).

The spelling of 123012020120 in words is "one hundred twenty-three billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 241 440 482 907 964 1205 1279 1814 1928 2410 2558 2651 3628 4535 4820 5116 5302 6395 7256 9070 9640 9977 10232 10604 12790 13255 14069 18140 19954 21208 25580 26510 28138 36280 39908 49885 51160 53020 56276 70345 79816 99770 106040 112552 140690 199540 218587 281380 308239 399080 437174 562760 616478 874348 1092935 1160053 1232956 1541195 1748696 2185870 2320106 2404457 2465912 3082390 3390629 4371740 4640212 4808914 5800265 6164780 6781258 8743480 9280424 9617828 11600530 12022285 12329560 12760583 13562516 16953145 19235656 23201060 24044570 25521166 27125032 33906290 46402120 48089140 51042332 63802915 67812580 96178280 102084664 127605830 135625160 255211660 279572773 510423320 559145546 1118291092 1397863865 2236582184 2795727730 3075300503 5591455460 6150601006 11182910920 12301202012 15376502515 24602404024 30753005030 61506010060 123012020120