Search a number
-
+
20120122100120 = 235783865753963
BaseRepresentation
bin1001001001100100101001…
…01110110000100110011000
32122020110112220101110000212
410210302110232300212120
510114122002224200440
6110443020111350252
74144426245023210
oct444622456604630
978213486343025
1020120122100120
116457994438849
12230b4b8222388
13b2c41c87bba3
144d7b678a9240
1524d585909465
hex124c94bb0998

20120122100120 has 64 divisors (see below), whose sum is σ = 52360799742720. Its totient is φ = 6815215188864.

The previous prime is 20120122100059. The next prime is 20120122100191. The reversal of 20120122100120 is 2100122102102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20120122100095 and 20120122100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432853742 + ... + 432900221.

It is an arithmetic number, because the mean of its divisors is an integer number (818137495980).

Almost surely, 220120122100120 is an apocalyptic number.

20120122100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120122100120 is an abundant number, since it is smaller than the sum of its proper divisors (32240677642600).

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

20120122100120 is a wasteful number, since it uses less digits than its factorization.

20120122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865754064 (or 865754060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20120122100120 its reverse (2100122102102), we get a palindrome (22220244202222).

The spelling of 20120122100120 in words is "twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 865753963 1731507926 3463015852 4328769815 6060277741 6926031704 8657539630 12120555482 17315079260 24241110964 30301388705 34630158520 48482221928 60602777410 71857578929 121205554820 143715157858 242411109640 287430315716 359287894645 503003052503 574860631432 718575789290 1006006105006 1437151578580 2012012210012 2515015262515 2874303157160 4024024420024 5030030525030 10060061050060 20120122100120