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12122211111120 = 24325116301242911
BaseRepresentation
bin1011000001100110110000…
…0101100101000011010000
31120220212112201211210112100
42300121230011211003100
53042102242021023440
641440511130200400
72360541456222015
oct260315405450320
946825481753470
1012122211111120
113954001168490
121439447b83100
1369c1729c8b16
142dca0a85570c
151604d708a230
hexb066c1650d0

12122211111120 has 240 divisors, whose sum is σ = 44418604598784. Its totient is φ = 2938239360000.

The previous prime is 12122211111113. The next prime is 12122211111137. The reversal of 12122211111120 is 2111111222121.

It is a happy number.

12122211111120 is a `hidden beast` number, since 1 + 212 + 221 + 1 + 111 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×121222111111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122211111093 and 12122211111102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49782465 + ... + 50025375.

Almost surely, 212122211111120 is an apocalyptic number.

12122211111120 is a gapful number since it is divisible by the number (10) 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 12122211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22209302299392).

12122211111120 is an abundant number, since it is smaller than the sum of its proper divisors (32296393487664).

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

12122211111120 is a wasteful number, since it uses less digits than its factorization.

12122211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249242 (or 249233 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122211111120 its reverse (2111111222121), we get a palindrome (14233322333241).

The spelling of 12122211111120 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".