Search a number
-
+
122886120 = 23357220899
BaseRepresentation
bin1110101001100…
…01011111101000
322120020021001210
413110301133220
5222424323440
620105513120
73021341400
oct724613750
9276207053
10122886120
1163403185
12351a27a0
131c5c77a6
141246b800
15abc5a80
hex75317e8

122886120 has 96 divisors (see below), whose sum is σ = 428868000. Its totient is φ = 28086912.

The previous prime is 122886119. The next prime is 122886121. The reversal of 122886120 is 21688221.

It is an interprime number because it is at equal distance from previous prime (122886119) and next prime (122886121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122886121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4570 + ... + 16329.

It is an arithmetic number, because the mean of its divisors is an integer number (4467375).

Almost surely, 2122886120 is an apocalyptic number.

122886120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122886120 is an abundant number, since it is smaller than the sum of its proper divisors (305981880).

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

122886120 is a wasteful number, since it uses less digits than its factorization.

122886120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927 (or 20916 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 122886120 is about 11085.4012106013. The cubic root of 122886120 is about 497.1654544019.

The spelling of 122886120 in words is "one hundred twenty-two million, eight hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 20899 41798 62697 83596 104495 125394 146293 167192 208990 250788 292586 313485 417980 438879 501576 585172 626970 731465 835960 877758 1024051 1170344 1253940 1462930 1755516 2048102 2194395 2507880 2925860 3072153 3511032 4096204 4388790 5120255 5851720 6144306 8192408 8777580 10240510 12288612 15360765 17555160 20481020 24577224 30721530 40962040 61443060 122886120