Search a number
-
+
122103120 = 24351926777
BaseRepresentation
bin1110100011100…
…10010101010000
322111202110222210
413101302111100
5222224244440
620041032120
73011600526
oct721622520
9274673883
10122103120
1162a18977
1234a85640
131c3b2289
1412306316
15aabda80
hex7472550

122103120 has 80 divisors (see below), whose sum is σ = 398456640. Its totient is φ = 30845952.

The previous prime is 122103109. The next prime is 122103127. The reversal of 122103120 is 21301221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122103096 and 122103105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103127) 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, 8829 + ... + 17948.

It is an arithmetic number, because the mean of its divisors is an integer number (4980708).

Almost surely, 2122103120 is an apocalyptic number.

122103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122103120 is an abundant number, since it is smaller than the sum of its proper divisors (276353520).

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

122103120 is a wasteful number, since it uses less digits than its factorization.

122103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26812 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122103120 is about 11050.0280542630. The cubic root of 122103120 is about 496.1072652159.

Adding to 122103120 its reverse (21301221), we get a palindrome (143404341).

The spelling of 122103120 in words is "one hundred twenty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 26777 53554 80331 107108 133885 160662 214216 267770 321324 401655 428432 508763 535540 642648 803310 1017526 1071080 1285296 1526289 1606620 2035052 2142160 2543815 3052578 3213240 4070104 5087630 6105156 6426480 7631445 8140208 10175260 12210312 15262890 20350520 24420624 30525780 40701040 61051560 122103120