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121144322112 = 2631157360001
BaseRepresentation
bin111000011010011000…
…0111010100001000000
3102120200202102012022220
41300310300322201000
53441100421301422
6131353011131040
711516032514322
oct1606460724100
9376622365286
10121144322112
11474168a2280
121b58aba3a80
13b5682b5c48
145c13301612
153240693e5c
hex1c34c3a840

121144322112 has 56 divisors (see below), whose sum is σ = 349666572192. Its totient is φ = 36710400000.

The previous prime is 121144322099. The next prime is 121144322113. The reversal of 121144322112 is 211223441121.

It is a super-3 number, since 3×1211443221123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (121144322113) 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, 28677889 + ... + 28682112.

It is an arithmetic number, because the mean of its divisors is an integer number (6244045932).

Almost surely, 2121144322112 is an apocalyptic number.

121144322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121144322112 is an abundant number, since it is smaller than the sum of its proper divisors (228522250080).

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

121144322112 is a wasteful number, since it uses less digits than its factorization.

121144322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57360027 (or 57360017 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 121144322112 its reverse (211223441121), we get a palindrome (332367763233).

The spelling of 121144322112 in words is "one hundred twenty-one billion, one hundred forty-four million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 57360001 114720002 172080003 229440004 344160006 458880008 630960011 688320012 917760016 1261920022 1376640024 1835520032 1892880033 2523840044 2753280048 3671040064 3785760066 5047680088 5506560096 7571520132 10095360176 11013120192 15143040264 20190720352 30286080528 40381440704 60572161056 121144322112