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20012202220120 = 23511731374547773
BaseRepresentation
bin1001000110011011101000…
…01101000101101001011000
32121212010222210002111212021
410203031310031011221120
510110334442232020440
6110321251230024224
74133556012130435
oct443156415055130
977763883074767
1020012202220120
116416144488680
1222b25ba048074
13b221b12cc226
144d284aa78b8c
1524a86b24d84a
hex123374345a58

20012202220120 has 128 divisors (see below), whose sum is σ = 50157217535040. Its totient is φ = 7125085347840.

The previous prime is 20012202220117. The next prime is 20012202220187. The reversal of 20012202220120 is 2102220221002.

It is a junction number, because it is equal to n+sod(n) for n = 20012202220094 and 20012202220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126554 + ... + 6674326.

Almost surely, 220012202220120 is an apocalyptic number.

20012202220120 is a gapful number since it is divisible by the number (20) 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 20012202220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078608767520).

20012202220120 is an abundant number, since it is smaller than the sum of its proper divisors (30145015314920).

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

20012202220120 is a wasteful number, since it uses less digits than its factorization.

20012202220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548005 (or 4548001 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20012202220120 its reverse (2102220221002), we get a palindrome (22114422441122).

The spelling of 20012202220120 in words is "twenty trillion, twelve billion, two hundred two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 137 146 220 274 292 365 440 548 584 685 730 803 1096 1370 1460 1507 1606 2740 2920 3014 3212 4015 5480 6028 6424 7535 8030 10001 12056 15070 16060 20002 30140 32120 40004 50005 60280 80008 100010 110011 200020 220022 400040 440044 550055 880088 1100110 2200220 4400440 4547773 9095546 18191092 22738865 36382184 45477730 50025503 90955460 100051006 181910920 200102012 250127515 331987429 400204024 500255030 623044901 663974858 1000510060 1246089802 1327949716 1659937145 2001020120 2492179604 2655899432 3115224505 3319874290 3651861719 4984359208 6230449010 6639748580 6853493911 7303723438 12460898020 13279497160 13706987822 14607446876 18259308595 24921796040 27413975644 29214893752 34267469555 36518617190 45482277773 54827951288 68534939110 73037234380 90964555546 137069878220 146074468760 181929111092 227411388865 274139756440 363858222184 454822777730 500305055503 909645555460 1000610111006 1819291110920 2001220222012 2501525277515 4002440444024 5003050555030 10006101110060 20012202220120