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12100122220120 = 23511231195664251
BaseRepresentation
bin1011000000010100011101…
…1111001001011001011000
31120211202112022200212112021
42300011013133021121120
53041222022242020440
641422415220424224
72356130210566624
oct260050737113130
946752468625467
1012100122220120
1139456a65a8770
121435102548074
1369a06262290c
142db912d76184
1515eb42c4d84a
hexb01477c9658

12100122220120 has 64 divisors (see below), whose sum is σ = 30991617411840. Its totient is φ = 4208738160000.

The previous prime is 12100122220111. The next prime is 12100122220127. The reversal of 12100122220120 is 2102222100121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12100122220094 and 12100122220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100122220127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597822006 + ... + 597842245.

It is an arithmetic number, because the mean of its divisors is an integer number (484244022060).

Almost surely, 212100122220120 is an apocalyptic number.

12100122220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100122220120 is an abundant number, since it is smaller than the sum of its proper divisors (18891495191720).

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

12100122220120 is a wasteful number, since it uses less digits than its factorization.

12100122220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195664296 (or 1195664292 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12100122220120 its reverse (2102222100121), we get a palindrome (14202344320241).

The spelling of 12100122220120 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1195664251 2391328502 4782657004 5978321255 9565314008 11956642510 13152306761 23913285020 26304613522 27500277773 47826570040 52609227044 55000555546 65761533805 105218454088 110001111092 131523067610 137501388865 220002222184 263046135220 275002777730 302503055503 526092270440 550005555460 605006111006 1100011110920 1210012222012 1512515277515 2420024444024 3025030555030 6050061110060 12100122220120