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111012122112 = 293394718311
BaseRepresentation
bin110011101100011010…
…1101000111000000000
3101121112121220002220020
41213120311220320000
53304323100401422
6122555343013440
711006661316533
oct1473065507000
9347477802806
10111012122112
11430974a3471
121962189a280
13a6120bc828
1455317a8a1a
152d4adc095c
hex19d8d68e00

111012122112 has 80 divisors (see below), whose sum is σ = 295834315392. Its totient is φ = 36992645120.

The previous prime is 111012122077. The next prime is 111012122113. The reversal of 111012122112 is 211221210111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111012122091 and 111012122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6053437 + ... + 6071747.

Almost surely, 2111012122112 is an apocalyptic number.

111012122112 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 111012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147917157696).

111012122112 is an abundant number, since it is smaller than the sum of its proper divisors (184822193280).

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

111012122112 is an equidigital number, since it uses as much as digits as its factorization.

111012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22279 (or 22263 counting only the distinct ones).

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

Adding to 111012122112 its reverse (211221210111), we get a palindrome (322233332223).

The spelling of 111012122112 in words is "one hundred eleven billion, twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3947 7894 11841 15788 18311 23682 31576 36622 47364 54933 63152 73244 94728 109866 126304 146488 189456 219732 252608 292976 378912 439464 505216 585952 757824 878928 1010432 1171904 1515648 1757856 2020864 2343808 3031296 3515712 4687616 6062592 7031424 9375232 14062848 28125696 72273517 144547034 216820551 289094068 433641102 578188136 867282204 1156376272 1734564408 2312752544 3469128816 4625505088 6938257632 9251010176 13876515264 18502020352 27753030528 37004040704 55506061056 111012122112