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5012120124 = 223211191574243
BaseRepresentation
bin1001010101011111…
…01110001000111100
3110221022012002020200
410222233232020330
540231100320444
62145203043500
7235130214054
oct45257561074
913838162220
105012120124
112142236040
12b7a670590
1361b51346b
14357938564
151e504c969
hex12abee23c

5012120124 has 144 divisors (see below), whose sum is σ = 14644855680. Its totient is φ = 1429384320.

The previous prime is 5012120117. The next prime is 5012120147. The reversal of 5012120124 is 4210212105.

5012120124 is a `hidden beast` number, since 501 + 21 + 20 + 124 = 666.

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 = 5012120097 and 5012120106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179147 + ... + 1183389.

Almost surely, 25012120124 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 5012120124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322427840).

5012120124 is an abundant number, since it is smaller than the sum of its proper divisors (9632735556).

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

5012120124 is a wasteful number, since it uses less digits than its factorization.

5012120124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5012120124 is about 70796.3284641231. The cubic root of 5012120124 is about 1711.3565064738.

Adding to 5012120124 its reverse (4210212105), we get a palindrome (9222332229).

The spelling of 5012120124 in words is "five billion, twelve million, one hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 157 171 198 209 228 314 342 396 418 471 627 628 684 836 942 1254 1413 1727 1881 1884 2508 2826 2983 3454 3762 4243 5181 5652 5966 6908 7524 8486 8949 10362 11932 12729 15543 16972 17898 20724 25458 26847 31086 32813 35796 38187 46673 50916 53694 62172 65626 76374 80617 93346 98439 107388 131252 140019 152748 161234 186692 196878 241851 280038 295317 322468 393756 420057 483702 560076 590634 666151 725553 840114 886787 967404 1181268 1332302 1451106 1680228 1773574 1998453 2660361 2664604 2902212 3547148 3996906 5320722 5995359 7327661 7981083 7993812 10641444 11990718 12656869 14655322 15962166 21982983 23981436 25313738 29310644 31924332 37970607 43965966 50627476 65948949 75941214 87931932 113911821 131897898 139225559 151882428 227823642 263795796 278451118 417676677 455647284 556902236 835353354 1253030031 1670706708 2506060062 5012120124