Search a number
-
+
122124024 = 2335115711
BaseRepresentation
bin1110100011101…
…11011011111000
322111210112200000
413101313123320
5222230432044
620041313000
73012015501
oct721673370
9274715600
10122124024
1162a32650
1234a95760
131c3bb949
141230dba8
15aac4d69
hex74776f8

122124024 has 96 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 37000800.

The previous prime is 122124011. The next prime is 122124029. The reversal of 122124024 is 420421221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122123988 and 122124006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122124029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18529 + ... + 24239.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2122124024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122124024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

122124024 is an abundant number, since it is smaller than the sum of its proper divisors (252126216).

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

122124024 is a wasteful number, since it uses less digits than its factorization.

122124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122124024 is about 11050.9738937344. The cubic root of 122124024 is about 496.1355747151.

Adding to 122124024 its reverse (420421221), we get a palindrome (542545245).

The spelling of 122124024 in words is "one hundred twenty-two million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 5711 7128 10692 11422 17133 21384 22844 34266 45688 51399 62821 68532 102798 125642 137064 154197 188463 205596 251284 308394 376926 411192 462591 502568 565389 616788 753852 925182 1130778 1233576 1387773 1507704 1696167 1850364 2261556 2775546 3392334 3700728 4523112 5088501 5551092 6784668 10177002 11102184 13569336 15265503 20354004 30531006 40708008 61062012 122124024