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2000123024120 = 235132337387719
BaseRepresentation
bin11101000110110000100…
…111110101001011111000
321002012200000100010022222
4131012300213311023320
5230232222443232440
64130502133503212
7264334625122664
oct35066047651370
97065600303288
102000123024120
1170127a338711
122837791a1b08
131167c2ba9900
146cb40d558a4
1537063bce2b5
hex1d1b09f52f8

2000123024120 has 96 divisors (see below), whose sum is σ = 4874581101600. Its totient is φ = 738279599616.

The previous prime is 2000123024117. The next prime is 2000123024153. The reversal of 2000123024120 is 214203210002.

It is a super-2 number, since 2×20001230241202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22757621 + ... + 22845339.

It is an arithmetic number, because the mean of its divisors is an integer number (50776886475).

Almost surely, 22000123024120 is an apocalyptic number.

2000123024120 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 2000123024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437290550800).

2000123024120 is an abundant number, since it is smaller than the sum of its proper divisors (2874458077480).

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

2000123024120 is a wasteful number, since it uses less digits than its factorization.

2000123024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91129 (or 91112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2000123024120 its reverse (214203210002), we get a palindrome (2214326234122).

The spelling of 2000123024120 in words is "two trillion, one hundred twenty-three million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3373 3380 6746 6760 13492 16865 26984 33730 43849 67460 87698 87719 134920 175396 175438 219245 350792 350876 438490 438595 570037 701752 876980 877190 1140074 1140347 1753960 1754380 2280148 2280694 2850185 3508760 4560296 4561388 5700370 5701735 9122776 11400740 11403470 14824511 22801480 22806940 29649022 45613880 59298044 74122555 118596088 148245110 295876187 296490220 591752374 592980440 1183504748 1479380935 2367009496 2958761870 3846390431 5917523740 7692780862 11835047480 15385561724 19231952155 30771123448 38463904310 50003075603 76927808620 100006151206 153855617240 200012302412 250015378015 400024604824 500030756030 1000061512060 2000123024120