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20121010121000 = 235323967904681
BaseRepresentation
bin1001001001100110010011…
…01010010010100100101000
32122020112211210100120200002
410210303021222102210220
510114130312042333000
6110443244153002132
74144460250050315
oct444631152224450
978215753316602
1020121010121000
1164582aa728aa8
12230b7056b3348
13b2c53183cc29
144d7c0d7c7d0c
1524d5d886b8d5
hex124cc9a92928

20121010121000 has 128 divisors (see below), whose sum is σ = 49181119004160. Its totient is φ = 7690503744000.

The previous prime is 20121010120979. The next prime is 20121010121011. The reversal of 20121010121000 is 12101012102.

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, 21788660 + ... + 22693340.

It is an arithmetic number, because the mean of its divisors is an integer number (384227492220).

Almost surely, 220121010121000 is an apocalyptic number.

20121010121000 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 20121010121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590559502080).

20121010121000 is an abundant number, since it is smaller than the sum of its proper divisors (29060108883160).

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

20121010121000 is a wasteful number, since it uses less digits than its factorization.

20121010121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905692 (or 905678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121010121000 its reverse (12101012102), we get a palindrome (20133111133102).

The spelling of 20121010121000 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 967 1000 1150 1934 2300 2875 3868 4600 4835 5750 7736 9670 11500 19340 22241 23000 24175 38680 44482 48350 88964 96700 111205 120875 177928 193400 222410 241750 444820 483500 556025 889640 904681 967000 1112050 1809362 2224100 2780125 3618724 4448200 4523405 5560250 7237448 9046810 11120500 18093620 20807663 22241000 22617025 36187240 41615326 45234050 83230652 90468100 104038315 113085125 166461304 180936200 208076630 226170250 416153260 452340500 520191575 832306520 874826527 904681000 1040383150 1749653054 2080766300 2600957875 3499306108 4161532600 4374132635 5201915750 6998612216 8748265270 10403831500 17496530540 20121010121 20807663000 21870663175 34993061080 40242020242 43741326350 80484040484 87482652700 100605050605 109353315875 160968080968 174965305400 201210101210 218706631750 402420202420 437413263500 503025253025 804840404840 874826527000 1006050506050 2012101012100 2515126265125 4024202024200 5030252530250 10060505060500 20121010121000