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122202200112 = 2438397316219
BaseRepresentation
bin111000111001111010…
…0011001100000110000
3102200102110222222010120
41301303310121200300
54000232230400422
6132050001130240
711554166363616
oct1616364314060
9380373888116
10122202200112
1147909a57713
121b825329980
13b6a6509265
145cb39d76b6
1532a34a945c
hex1c73d19830

122202200112 has 80 divisors (see below), whose sum is σ = 322787256960. Its totient is φ = 39828289536.

The previous prime is 122202200077. The next prime is 122202200149. The reversal of 122202200112 is 211002202221.

It is a junction number, because it is equal to n+sod(n) for n = 122202200091 and 122202200100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228339 + ... + 544557.

It is an arithmetic number, because the mean of its divisors is an integer number (4034840712).

Almost surely, 2122202200112 is an apocalyptic number.

122202200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161393628480).

122202200112 is an abundant number, since it is smaller than the sum of its proper divisors (200585056848).

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

122202200112 is a wasteful number, since it uses less digits than its factorization.

122202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316410 (or 316404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122202200112 its reverse (211002202221), we get a palindrome (333204402333).

The spelling of 122202200112 in words is "one hundred twenty-two billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 97 166 194 249 291 332 388 498 582 664 776 996 1164 1328 1552 1992 2328 3984 4656 8051 16102 24153 32204 48306 64408 96612 128816 193224 316219 386448 632438 948657 1264876 1897314 2529752 3794628 5059504 7589256 15178512 26246177 30673243 52492354 61346486 78738531 92019729 104984708 122692972 157477062 184039458 209969416 245385944 314954124 368078916 419938832 490771888 629908248 736157832 1259816496 1472315664 2545879169 5091758338 7637637507 10183516676 15275275014 20367033352 30550550028 40734066704 61101100056 122202200112