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110002120212012 = 223725117892916337
BaseRepresentation
bin11001000000101111011101…
…010011001011111000101100
3112102111002200220002201012220
4121000233131103023320230
5103404233320233241022
61025542135411155340
732112251041154640
oct3100573523137054
9472432626081186
10110002120212012
1132060701123926
12104071935a5b50
13494c203618092
141d241b976cc20
15cab61a91d85c
hex640bdd4cbe2c

110002120212012 has 96 divisors (see below), whose sum is σ = 294672390888960. Its totient is φ = 31286452608000.

The previous prime is 110002120212011. The next prime is 110002120212077. The reversal of 110002120212012 is 210212021200011.

It is a super-2 number, since 2×1100021202120122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110002120211982 and 110002120212000.

It is not an unprimeable number, because it can be changed into a prime (110002120212011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36261108 + ... + 39177444.

It is an arithmetic number, because the mean of its divisors is an integer number (3069504071760).

Almost surely, 2110002120212012 is an apocalyptic number.

110002120212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110002120212012 is an abundant number, since it is smaller than the sum of its proper divisors (184670270676948).

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

110002120212012 is a wasteful number, since it uses less digits than its factorization.

110002120212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918391 (or 2918389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110002120212012 its reverse (210212021200011), we get a palindrome (320214141412023).

The spelling of 110002120212012 in words is "one hundred ten trillion, two billion, one hundred twenty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 251 502 753 1004 1506 1757 1789 3012 3514 3578 5271 5367 7028 7156 10542 10734 12523 21084 21468 25046 37569 50092 75138 150276 449039 898078 1347117 1796156 2694234 2916337 3143273 5388468 5832674 6286546 8749011 9429819 11665348 12573092 17498022 18859638 20414359 34996044 37719276 40828718 61243077 81657436 122486154 244972308 732000587 1464001174 2196001761 2928002348 4392003522 5124004109 5217326893 8784007044 10248008218 10434653786 15372012327 15651980679 20496016436 20869307572 30744024654 31303961358 36521288251 61488049308 62607922716 73042576502 109563864753 146085153004 219127729506 438255459012 1309549050143 2619098100286 3928647150429 5238196200572 7857294300858 9166843351001 15714588601716 18333686702002 27500530053003 36667373404004 55001060106006 110002120212012