Search a number
-
+
122220011112 = 2337873646831
BaseRepresentation
bin111000111010011100…
…0010101111001101000
3102200110201111212020020
41301310320111321220
54000301310323422
6132051435000440
711554503645003
oct1616470257150
9380421455206
10122220011112
1147919012351
121b82b299120
13b6aa104204
145cb611253a
1532a4d2695c
hex1c74e15e68

122220011112 has 32 divisors (see below), whose sum is σ = 305589310080. Its totient is φ = 40734766080.

The previous prime is 122220011107. The next prime is 122220011153. The reversal of 122220011112 is 211110022221.

It is a super-2 number, since 2×1222200111122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122220011091 and 122220011100.

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 7 ways as a sum of consecutive naturals, for example, 134464 + ... + 512367.

It is an arithmetic number, because the mean of its divisors is an integer number (9549665940).

Almost surely, 2122220011112 is an apocalyptic number.

122220011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122220011112 is an abundant number, since it is smaller than the sum of its proper divisors (183369298968).

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

122220011112 is a wasteful number, since it uses less digits than its factorization.

122220011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654713 (or 654709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122220011112 its reverse (211110022221), we get a palindrome (333330033333).

The spelling of 122220011112 in words is "one hundred twenty-two billion, two hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 7873 15746 23619 31492 47238 62984 94476 188952 646831 1293662 1940493 2587324 3880986 5174648 7761972 15523944 5092500463 10185000926 15277501389 20370001852 30555002778 40740003704 61110005556 122220011112