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20122122122120 = 235975186113949
BaseRepresentation
bin1001001001101000010111…
…11100001111001110001000
32122020122201021210002102202
410210310023330033032020
510114140101230401440
6110443550355015332
74144526641646144
oct444641374171610
978218637702382
1020122122122120
11645882039a997
12230b975b9a548
13b2c67b033265
144d7cb736c224
1524d6512c3615
hex124d0bf0f388

20122122122120 has 32 divisors (see below), whose sum is σ = 45741525039000. Its totient is φ = 7965871024128.

The previous prime is 20122122122119. The next prime is 20122122122147. The reversal of 20122122122120 is 2122122122102.

It can be written as a sum of positive squares in 4 ways, for example, as 15334069183876 + 4788052938244 = 3915874^2 + 2188162^2 .

It is a super-2 number, since 2×201221221221202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20122122122092 and 20122122122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2593053095 + ... + 2593060854.

Almost surely, 220122122122120 is an apocalyptic number.

20122122122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122122122120 is an abundant number, since it is smaller than the sum of its proper divisors (25619402916880).

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

20122122122120 is a wasteful number, since it uses less digits than its factorization.

20122122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186114057 (or 5186114053 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20122122122120 its reverse (2122122122102), we get a palindrome (22244244244222).

The spelling of 20122122122120 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 5186113949 10372227898 20744455796 25930569745 41488911592 51861139490 103722278980 207444557960 503053053053 1006106106106 2012212212212 2515265265265 4024424424424 5030530530530 10061061061060 20122122122120