Search a number
-
+
122212100121100 = 225211463239960927
BaseRepresentation
bin11011110010011010111000…
…110100001010001000001100
3121000201100210101102102002021
4123302122320310022020030
5112004310340112333400
61111531244055335524
734512350525031223
oct3362327064121014
9530640711372067
10122212100121100
1135a38951501280
12118596350815a4
135326722acb682
142227150a41cba
15e1e03d00371a
hex6f26b8d0a20c

122212100121100 has 72 divisors (see below), whose sum is σ = 289934231021568. Its totient is φ = 44344779124800.

The previous prime is 122212100121077. The next prime is 122212100121107. The reversal of 122212100121100 is 1121001212221.

It is not an unprimeable number, because it can be changed into a prime (122212100121107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119471164 + ... + 120489763.

It is an arithmetic number, because the mean of its divisors is an integer number (4026864319744).

Almost surely, 2122212100121100 is an apocalyptic number.

122212100121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212100121100 is an abundant number, since it is smaller than the sum of its proper divisors (167722130900468).

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

122212100121100 is a wasteful number, since it uses less digits than its factorization.

122212100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239961415 (or 239961408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122212100121100 its reverse (1121001212221), we get a palindrome (123333101333321).

The spelling of 122212100121100 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 463 550 926 1100 1852 2315 4630 5093 9260 10186 11575 20372 23150 25465 46300 50930 101860 127325 254650 509300 239960927 479921854 959843708 1199804635 2399609270 2639570197 4799218540 5279140394 5999023175 10558280788 11998046350 13197850985 23996092700 26395701970 52791403940 65989254925 111101909201 131978509850 222203818402 263957019700 444407636804 555509546005 1111019092010 1222121001211 2222038184020 2444242002422 2777547730025 4888484004844 5555095460050 6110605006055 11110190920100 12221210012110 24442420024220 30553025030275 61106050060550 122212100121100