Search a number
-
+
122220111001212 = 223273713108120013
BaseRepresentation
bin11011110010100010010110…
…010011001111011001111100
3121000202010110200022021200200
4123302202112103033121330
5112004423241404014322
61111535051024323500
734513053200264640
oct3362422623173174
9530663420267620
10122220111001212
1135a41292430054
121185b0aba73590
1353273cb680b13
1422276b093cc20
15e1e35b44c8ac
hex6f28964cf67c

122220111001212 has 72 divisors (see below), whose sum is σ = 362623032067296. Its totient is φ = 33976247071104.

The previous prime is 122220111001169. The next prime is 122220111001253. The reversal of 122220111001212 is 212100111022221.

122220111001212 is a `hidden beast` number, since 122 + 220 + 1 + 110 + 0 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6554050683 + ... + 6554069330.

Almost surely, 2122220111001212 is an apocalyptic number.

122220111001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122220111001212 is an abundant number, since it is smaller than the sum of its proper divisors (240402921066084).

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

122220111001212 is a wasteful number, since it uses less digits than its factorization.

122220111001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108120067 (or 13108120062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122220111001212 its reverse (212100111022221), we get a palindrome (334320222023433).

The spelling of 122220111001212 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred eleven million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 13108120013 26216240026 39324360039 52432480052 78648720078 91756840091 117973080117 157297440156 183513680182 235946160234 275270520273 367027360364 471892320468 485000440481 550541040546 825811560819 970000880962 1101082081092 1455001321443 1651623121638 1940001761924 2910002642886 3303246243276 3395003083367 4365003964329 5820005285772 6790006166734 8730007928658 10185009250101 13580012333468 17460015857316 20370018500202 30555027750303 40740037000404 61110055500606 122220111001212