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1122101112012 = 2231912819173669
BaseRepresentation
bin10000010101000010011…
…100000010110011001100
310222021100011012120210220
4100111002130002303030
5121341030341041022
62215253001031340
7144032466036306
oct20250234026314
93867304176726
101122101112012
113a2975908621
12161579485550
1381a7686cc4a
143c44a848976
151e2c5e0385c
hex10542702ccc

1122101112012 has 48 divisors (see below), whose sum is σ = 2632892774400. Its totient is φ = 371941282240.

The previous prime is 1122101111993. The next prime is 1122101112023. The reversal of 1122101112012 is 2102111012211.

It is a happy number.

It is a super-2 number, since 2×11221011120122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122101111982 and 1122101112000.

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, 6374314 + ... + 6547982.

It is an arithmetic number, because the mean of its divisors is an integer number (54851932800).

Almost surely, 21122101112012 is an apocalyptic number.

1122101112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122101112012 is an abundant number, since it is smaller than the sum of its proper divisors (1510791662388).

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

1122101112012 is a wasteful number, since it uses less digits than its factorization.

1122101112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176686 (or 176684 counting only the distinct ones).

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

Adding to 1122101112012 its reverse (2102111012211), we get a palindrome (3224212124223).

The spelling of 1122101112012 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 191 382 573 764 1146 2292 2819 5638 8457 11276 16914 33828 173669 347338 521007 538429 694676 1042014 1076858 1615287 2084028 2153716 3230574 6461148 33170779 66341558 99512337 132683116 199024674 398049348 489572911 979145822 1468718733 1958291644 2937437466 5874874932 93508426001 187016852002 280525278003 374033704004 561050556006 1122101112012