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12122231414112 = 253623411274339
BaseRepresentation
bin1011000001100110110101…
…0011000001110101100000
31120220212121011001022000000
42300121231103001311200
53042102312220222422
641440513133300000
72360542123622301
oct260315523016540
946825534038000
1012122231414112
113954011675416
121439452934600
1369c176c87121
142dca0d41c7a8
151604d8c4acac
hexb066d4c1d60

12122231414112 has 672 divisors, whose sum is σ = 38558572093440. Its totient is φ = 3740236093440.

The previous prime is 12122231414063. The next prime is 12122231414141. The reversal of 12122231414112 is 21141413222121.

12122231414112 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 231 + 414 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2793782439 + ... + 2793786777.

It is an arithmetic number, because the mean of its divisors is an integer number (57378827520).

Almost surely, 212122231414112 is an apocalyptic number.

12122231414112 is a gapful number since it is divisible by the number (12) 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 12122231414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279286046720).

12122231414112 is an abundant number, since it is smaller than the sum of its proper divisors (26436340679328).

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

12122231414112 is a wasteful number, since it uses less digits than its factorization.

12122231414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4535 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 12122231414112 its reverse (21141413222121), we get a palindrome (33263644636233).

The spelling of 12122231414112 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty-one million, four hundred fourteen thousand, one hundred twelve".