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120113430012 = 22342340939409
BaseRepresentation
bin110111111011101010…
…0010111110111111100
3102111000220121110020000
41233313110113313330
53431443014230022
6131102423354300
711451344211102
oct1576724276774
9374026543200
10120113430012
1146a37999834
121b3418b2990
13b432850a14
145b56431c72
1531cee0e6ac
hex1bf7517dfc

120113430012 has 120 divisors (see below), whose sum is σ = 328461856800. Its totient is φ = 38202430464.

The previous prime is 120113429999. The next prime is 120113430043. The reversal of 120113430012 is 210034311021.

120113430012 is a `hidden beast` number, since 120 + 113 + 430 + 0 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3028164 + ... + 3067572.

It is an arithmetic number, because the mean of its divisors is an integer number (2737182140).

Almost surely, 2120113430012 is an apocalyptic number.

120113430012 is a gapful number since it is divisible by the number (12) 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 120113430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164230928400).

120113430012 is an abundant number, since it is smaller than the sum of its proper divisors (208348426788).

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

120113430012 is a wasteful number, since it uses less digits than its factorization.

120113430012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39857 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120113430012 its reverse (210034311021), we get a palindrome (330147741033).

The spelling of 120113430012 in words is "one hundred twenty billion, one hundred thirteen million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 409 414 621 818 828 1227 1242 1636 1863 2454 2484 3681 3726 4908 7362 7452 9407 11043 14724 18814 22086 28221 33129 37628 39409 44172 56442 66258 78818 84663 112884 118227 132516 157636 169326 236454 253989 338652 354681 472908 507978 709362 761967 906407 1015956 1064043 1418724 1523934 1812814 2128086 2719221 3047868 3192129 3625628 4256172 5438442 6384258 8157663 10876884 12768516 16118281 16315326 24472989 32236562 32630652 48354843 48945978 64473124 73418967 96709686 97891956 145064529 146837934 193419372 290129058 293675868 370720463 435193587 580258116 741440926 870387174 1112161389 1305580761 1482881852 1740774348 2224322778 2611161522 3336484167 4448645556 5222323044 6672968334 10009452501 13345936668 20018905002 30028357503 40037810004 60056715006 120113430012