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120112002002020 = 22572434576236999
BaseRepresentation
bin11011010011110111000001…
…001101100110110001100100
3120202021121001221022020210111
4123103313001031212301210
5111220403340003031040
61103242405244302404
734204543244405200
oct3323670115466144
9522247057266714
10120112002002020
11352a92398a9046
121157a616541a04
135203689622252
1421936480adb00
15dd45c73a8dea
hex6d3dc1366c64

120112002002020 has 144 divisors (see below), whose sum is σ = 300897129456000. Its totient is φ = 40135531193856.

The previous prime is 120112002002011. The next prime is 120112002002029. The reversal of 120112002002020 is 20200200211021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120112002002011) and next prime (120112002002029).

It is not an unprimeable number, because it can be changed into a prime (120112002002029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16139481 + ... + 22376479.

It is an arithmetic number, because the mean of its divisors is an integer number (2089563399000).

Almost surely, 2120112002002020 is an apocalyptic number.

120112002002020 is a gapful number since it is divisible by the number (10) 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 120112002002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150448564728000).

120112002002020 is an abundant number, since it is smaller than the sum of its proper divisors (180785127453980).

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

120112002002020 is a wasteful number, since it uses less digits than its factorization.

120112002002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237522 (or 6237513 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120112002002020 its reverse (20200200211021), we get a palindrome (140312202213041).

The spelling of 120112002002020 in words is "one hundred twenty trillion, one hundred twelve billion, two million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 457 490 602 860 914 980 1204 1505 1828 2107 2285 3010 3199 4214 4570 6020 6398 8428 9140 10535 12796 15995 19651 21070 22393 31990 39302 42140 44786 63980 78604 89572 98255 111965 137557 196510 223930 275114 393020 447860 550228 687785 962899 1375570 1925798 2751140 3851596 4814495 6236999 9628990 12473998 19257980 24947996 31184995 43658993 62369990 87317986 124739980 174635972 218294965 268190957 305612951 436589930 536381914 611225902 873179860 1072763828 1222451804 1340954785 1528064755 1877336699 2681909570 2850308543 3056129510 3754673398 5363819140 5700617086 6112259020 7509346796 9386683495 11401234172 13141356893 14251542715 18773366990 19952159801 26282713786 28503085430 37546733980 39904319602 52565427572 57006170860 65706784465 79808639204 99760799005 122563267349 131413568930 139665118607 199521598010 245126534698 262827137860 279330237214 399043196020 490253069396 558660474428 612816336745 698325593035 857942871443 1225632673490 1396651186070 1715885742886 2451265346980 2793302372140 3431771485772 4289714357215 6005600100101 8579428714430 12011200200202 17158857428860 24022400400404 30028000500505 60056001001010 120112002002020