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20122012100120 = 2357312318204159
BaseRepresentation
bin1001001001101000001010…
…11000100010011000011000
32122020122102121202101121212
410210310011120202120120
510114134340044200440
6110443531424522252
74144524134533250
oct444640530423030
978218377671555
1020122012100120
116458774283817
12230b945180388
13b2c6612c0b98
144d7ca68cc960
1524d6467de465
hex124d05622618

20122012100120 has 64 divisors (see below), whose sum is σ = 53411423846400. Its totient is φ = 6676427975040.

The previous prime is 20122012100117. The next prime is 20122012100123. The reversal of 20122012100120 is 2100121022102.

It is an interprime number because it is at equal distance from previous prime (20122012100117) and next prime (20122012100123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20122012100095 and 20122012100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122012100123) 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, 1159093400 + ... + 1159110759.

It is an arithmetic number, because the mean of its divisors is an integer number (834553497600).

Almost surely, 220122012100120 is an apocalyptic number.

20122012100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122012100120 is an abundant number, since it is smaller than the sum of its proper divisors (33289411746280).

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

20122012100120 is a wasteful number, since it uses less digits than its factorization.

20122012100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318204208 (or 2318204204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20122012100120 its reverse (2100121022102), we get a palindrome (22222133122222).

The spelling of 20122012100120 in words is "twenty trillion, one hundred twenty-two billion, twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 2318204159 4636408318 9272816636 11591020795 16227429113 18545633272 23182041590 32454858226 46364083180 64909716452 71864328929 81137145565 92728166360 129819432904 143728657858 162274291130 287457315716 324548582260 359321644645 503050302503 574914631432 649097164520 718643289290 1006100605006 1437286578580 2012201210012 2515251512515 2874573157160 4024402420024 5030503025030 10061006050060 20122012100120