Search a number
-
+
122110120000220 = 22511719989770909
BaseRepresentation
bin11011110000111011111010…
…010100110111101011011100
3121000100121120012211111122012
4123300323322110313223130
5112001123011210001340
61111412340435410352
734502110415224442
oct3360737224675334
9530317505744565
10122110120000220
11359a967a377040
12118419141539b8
135319c1ccb4c91
142222238a1cb92
15e1b570031565
hex6f0efa537adc

122110120000220 has 48 divisors (see below), whose sum is σ = 279743935413600. Its totient is φ = 44403560728320.

The previous prime is 122110120000207. The next prime is 122110120000223. The reversal of 122110120000220 is 22000021011221.

It is a junction number, because it is equal to n+sod(n) for n = 122110120000195 and 122110120000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110120000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158012126 + ... + 158783034.

It is an arithmetic number, because the mean of its divisors is an integer number (5827998654450).

Almost surely, 2122110120000220 is an apocalyptic number.

122110120000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110120000220 is an abundant number, since it is smaller than the sum of its proper divisors (157633815413380).

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

122110120000220 is a wasteful number, since it uses less digits than its factorization.

122110120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490918 (or 1490916 counting only the distinct ones).

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

Adding to 122110120000220 its reverse (22000021011221), we get a palindrome (144110141011441).

The spelling of 122110120000220 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 719989 770909 1439978 1541818 2879956 3083636 3599945 3854545 7199890 7709090 7919879 8479999 14399780 15418180 15839758 16959998 31679516 33919996 39599395 42399995 79198790 84799990 158397580 169599980 555046000001 1110092000002 2220184000004 2775230000005 5550460000010 6105506000011 11100920000020 12211012000022 24422024000044 30527530000055 61055060000110 122110120000220