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20120130002120 = 23529132722375843
BaseRepresentation
bin1001001001100100101010…
…01100111001110011001000
32122020110120110020220112112
410210302111030321303020
510114122011240031440
6110443020553001452
74144426402134131
oct444622514716310
978213513226475
1020120130002120
116457998945725
12230b4ba9b3288
13b2c4213b7825
144d7b68964c88
1524d58646a965
hex124c95339cc8

20120130002120 has 128 divisors (see below), whose sum is σ = 46895603443200. Its totient is φ = 7759877938176.

The previous prime is 20120130002069. The next prime is 20120130002129. The reversal of 20120130002120 is 2120003102102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20120130002095 and 20120130002104.

It is not an unprimeable number, because it can be changed into a prime (20120130002129) 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, 3443455919 + ... + 3443461761.

It is an arithmetic number, because the mean of its divisors is an integer number (366371901900).

Almost surely, 220120130002120 is an apocalyptic number.

20120130002120 is a gapful number since it is divisible by the number (20) 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 20120130002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447801721600).

20120130002120 is an abundant number, since it is smaller than the sum of its proper divisors (26775473441080).

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

20120130002120 is a wasteful number, since it uses less digits than its factorization.

20120130002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9443 counting only the distinct ones).

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

Adding to 20120130002120 its reverse (2120003102102), we get a palindrome (22240133104222).

The spelling of 20120130002120 in words is "twenty trillion, one hundred twenty billion, one hundred thirty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1327 2237 2654 4474 5308 5843 6635 8948 10616 11185 11686 13270 17896 22370 23372 26540 29215 38483 44740 46744 53080 58430 64873 76966 89480 116860 129746 153932 169447 192415 233720 259492 307864 324365 338894 384830 518984 648730 677788 769660 847235 1297460 1355576 1539320 1694470 2594920 2968499 3388940 5936998 6777880 7753661 11873996 13070791 14842495 15507322 23747992 26141582 29684990 31014644 38768305 52283164 59369980 62029288 65353955 77536610 86086471 104566328 118739960 130707910 155073220 172172942 224856169 261415820 310146440 344345884 379052939 430432355 449712338 522831640 688691768 758105878 860864710 899424676 1124280845 1516211756 1721729420 1798849352 1895264695 2248561690 3032423512 3443458840 3790529390 4497123380 7581058780 8994246760 15162117560 17344939657 34689879314 69379758628 86724698285 138759517256 173449396570 346898793140 503003250053 693797586280 1006006500106 2012013000212 2515016250265 4024026000424 5030032500530 10060065001060 20120130002120