Search a number
-
+
122110111120 = 2457121498259
BaseRepresentation
bin111000110111001010…
…1000110110110010000
3102200012001201100210011
41301232111012312100
54000040142023440
6132032511244304
711552000550604
oct1615625066620
9380161640704
10122110111120
1147871a79908
121b7ba519694
13b69040552a
145ca56a5504
15329a3689ea
hex1c6e546d90

122110111120 has 40 divisors (see below), whose sum is σ = 287904697920. Its totient is φ = 48156097920.

The previous prime is 122110111093. The next prime is 122110111127. The reversal of 122110111120 is 21111011221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 122110111120.

It is not an unprimeable number, because it can be changed into a prime (122110111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10743450 + ... + 10754809.

It is an arithmetic number, because the mean of its divisors is an integer number (7197617448).

Almost surely, 2122110111120 is an apocalyptic number.

122110111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110111120 is an abundant number, since it is smaller than the sum of its proper divisors (165794586800).

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

122110111120 is a wasteful number, since it uses less digits than its factorization.

122110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21498343 (or 21498337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122110111120 its reverse (21111011221), we get a palindrome (143221122341).

The spelling of 122110111120 in words is "one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 21498259 42996518 85993036 107491295 171986072 214982590 343972144 429965180 859930360 1526376389 1719860720 3052752778 6105505556 7631881945 12211011112 15263763890 24422022224 30527527780 61055055560 122110111120