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1121111212112 = 242319325396217
BaseRepresentation
bin10000010100000111011…
…011111000000001010000
310222011210011112110102122
4100110013123320001100
5121332013432241422
62215010440033412
7143666116032623
oct20240733700120
93864704473378
101121111212112
113a2508063131
12161341a62868
138194975b068
143c3951a9dba
151e269069d42
hex105076f8050

1121111212112 has 80 divisors (see below), whose sum is σ = 2279602369920. Its totient is φ = 533109620736.

The previous prime is 1121111212099. The next prime is 1121111212201. The reversal of 1121111212112 is 2112121111211.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 180326828 + ... + 180333044.

It is an arithmetic number, because the mean of its divisors is an integer number (28495029624).

Almost surely, 21121111212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121111212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139801184960).

1121111212112 is an abundant number, since it is smaller than the sum of its proper divisors (1158491157808).

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

1121111212112 is a wasteful number, since it uses less digits than its factorization.

1121111212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8974 counting only the distinct ones).

The product of its digits is 16, while the sum is 17.

Adding to 1121111212112 its reverse (2112121111211), we get a palindrome (3233232323323).

The spelling of 1121111212112 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 193 368 386 772 1544 2539 3088 4439 5078 6217 8878 10156 12434 17756 20312 24868 35512 40624 49736 58397 71024 99472 116794 142991 233588 285982 467176 490027 571964 934352 980054 1143928 1199881 1960108 2287856 2399762 3920216 4799524 7840432 9599048 11270621 15784963 19198096 22541242 27597263 31569926 45082484 55194526 63139852 90164968 110389052 126279704 180329936 220778104 252559408 363054149 441556208 726108298 1452216596 2904433192 3046497859 5808866384 6092995718 12185991436 24371982872 48743965744 70069450757 140138901514 280277803028 560555606056 1121111212112