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120112222212 = 2232173747112859
BaseRepresentation
bin110111111011100111…
…1110001000000000100
3102111000211100002102200
41233313033301000010
53431442212102322
6131102341434500
711451331020603
oct1576717610004
9374024302380
10120112222212
1146a37244354
121b34140ba30
13b43251a048
145b561d9a3a
1531cec718ac
hex1bf73f1004

120112222212 has 144 divisors (see below), whose sum is σ = 337193176320. Its totient is φ = 35883426816.

The previous prime is 120112222207. The next prime is 120112222291. The reversal of 120112222212 is 212222211021.

It is a happy number.

120112222212 is a `hidden beast` number, since 120 + 112 + 222 + 212 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007839 + ... + 1120697.

It is an arithmetic number, because the mean of its divisors is an integer number (2341619280).

Almost surely, 2120112222212 is an apocalyptic number.

120112222212 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 120112222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168596588160).

120112222212 is an abundant number, since it is smaller than the sum of its proper divisors (217080954108).

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

120112222212 is a wasteful number, since it uses less digits than its factorization.

120112222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112970 (or 112965 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120112222212 its reverse (212222211021), we get a palindrome (332334433233).

The spelling of 120112222212 in words is "one hundred twenty billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 47 51 68 74 94 102 111 141 148 153 188 204 222 282 306 333 423 444 564 612 629 666 799 846 1258 1332 1598 1692 1739 1887 2397 2516 3196 3478 3774 4794 5217 5661 6956 7191 7548 9588 10434 11322 14382 15651 20868 22644 28764 29563 31302 59126 62604 88689 112859 118252 177378 225718 266067 338577 354756 451436 532134 677154 1015731 1064268 1354308 1918603 2031462 3837206 4062924 4175783 5304373 5755809 7674412 8351566 10608746 11511618 12527349 15913119 16703132 17267427 21217492 23023236 25054698 31826238 34534854 37582047 47739357 50109396 63652476 69069708 70988311 75164094 90174341 95478714 141976622 150328188 180348682 190957428 196261801 212964933 270523023 283953244 360697364 392523602 425929866 541046046 588785403 638894799 785047204 811569069 851859732 1082092092 1177570806 1277789598 1623138138 1766356209 2355141612 2555579196 3246276276 3336450617 3532712418 6672901234 7065424836 10009351851 13345802468 20018703702 30028055553 40037407404 60056111106 120112222212