Search a number
-
+
122110000120 = 23523208163781
BaseRepresentation
bin111000110111001010…
…0101011101111111000
3102200012001111201112001
41301232110223233320
54000040130000440
6132032505030344
711551666606153
oct1615624535770
9380161451461
10122110000120
1147871a03479
121b7ba4853b4
13b690396b54
145ca5676c9a
15329a345b9a
hex1c6e52bbf8

122110000120 has 64 divisors (see below), whose sum is σ = 286835307840. Its totient is φ = 46697164800.

The previous prime is 122110000079. The next prime is 122110000127. The reversal of 122110000120 is 21000011221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122110000097 and 122110000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882630 + ... + 1946410.

It is an arithmetic number, because the mean of its divisors is an integer number (4481801685).

Almost surely, 2122110000120 is an apocalyptic number.

122110000120 is a gapful number since it is divisible by the number (10) 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 122110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143417653920).

122110000120 is an abundant number, since it is smaller than the sum of its proper divisors (164725307720).

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

122110000120 is a wasteful number, since it uses less digits than its factorization.

122110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65896 (or 65892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122110000120 its reverse (21000011221), we get a palindrome (143110011341).

The spelling of 122110000120 in words is "one hundred twenty-two billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2081 4162 8324 10405 16648 20810 41620 47863 63781 83240 95726 127562 191452 239315 255124 318905 382904 478630 510248 637810 957260 1275620 1466963 1914520 2551240 2933926 5867852 7334815 11735704 14669630 29339260 58678520 132728261 265456522 530913044 663641305 1061826088 1327282610 2654565220 3052750003 5309130440 6105500006 12211000012 15263750015 24422000024 30527500030 61055000060 122110000120