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12122110101012 = 22311511409622889
BaseRepresentation
bin1011000001100110011000…
…0100010000011000010100
31120220212021200202221201020
42300121212010100120110
53042102040141213022
641440453121201140
72360536121521632
oct260314604203024
946825250687636
1012122110101012
113953a5a14705a
12143941a1901b0
1369c157ac0622
142dc9db280352
151604cd28635c
hexb0666110614

12122110101012 has 48 divisors (see below), whose sum is σ = 28329635174400. Its totient is φ = 4034320998400.

The previous prime is 12122110100941. The next prime is 12122110101043. The reversal of 12122110101012 is 21010101122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122110100982 and 12122110101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19149664 + ... + 19772552.

It is an arithmetic number, because the mean of its divisors is an integer number (590200732800).

Almost surely, 212122110101012 is an apocalyptic number.

12122110101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122110101012 is an abundant number, since it is smaller than the sum of its proper divisors (16207525073388).

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

12122110101012 is a wasteful number, since it uses less digits than its factorization.

12122110101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625456 (or 625454 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12122110101012 its reverse (21010101122121), we get a palindrome (33132211223133).

The spelling of 12122110101012 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 1151 1409 2302 2818 3453 4227 4604 5636 6906 8454 13812 16908 622889 1245778 1621759 1868667 2491556 3243518 3737334 4865277 6487036 7474668 9730554 19461108 716945239 877650601 1433890478 1755301202 2150835717 2632951803 2867780956 3510602404 4301671434 5265903606 8603342868 10531807212 1010175841751 2020351683502 3030527525253 4040703367004 6061055050506 12122110101012