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122321111104 = 2619472518527
BaseRepresentation
bin111000111101011101…
…0000000100001000000
3102200201202202021100101
41301322322000201000
54001003201023404
6132105445532144
711560142201113
oct1617272004100
9380652667311
10122321111104
1147970095265
121b859114054
13b6c50415aa
145cc570c57a
1532adb472a4
hex1c7ae80840

122321111104 has 112 divisors (see below), whose sum is σ = 262012907520. Its totient is φ = 56476224000.

The previous prime is 122321111093. The next prime is 122321111153. The reversal of 122321111104 is 401111123221.

It is a super-2 number, since 2×1223211111042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 14340889 + ... + 14349415.

It is an arithmetic number, because the mean of its divisors is an integer number (2339400960).

Almost surely, 2122321111104 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 122321111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131006453760).

122321111104 is an abundant number, since it is smaller than the sum of its proper divisors (139691796416).

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

122321111104 is a wasteful number, since it uses less digits than its factorization.

122321111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 122321111104 its reverse (401111123221), we get a palindrome (523432234325).

The spelling of 122321111104 in words is "one hundred twenty-two billion, three hundred twenty-one million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 251 304 376 502 608 752 893 1004 1216 1504 1786 2008 3008 3572 4016 4769 7144 8032 8527 9538 11797 14288 16064 17054 19076 23594 28576 34108 38152 47188 57152 68216 76304 94376 136432 152608 162013 188752 224143 272864 305216 324026 377504 400769 448286 545728 648052 755008 801538 896572 1296104 1603076 1793144 2140277 2592208 3206152 3586288 4280554 5184416 6412304 7172576 7614611 8561108 10368832 12824608 14345152 15229222 17122216 25649216 30458444 34244432 40665263 60916888 68488864 81330526 100593019 121833776 136977728 162661052 201186038 243667552 325322104 402372076 487335104 650644208 804744152 1301288416 1609488304 1911267361 2602576832 3218976608 3822534722 6437953216 7645069444 15290138888 30580277776 61160555552 122321111104