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122123312211032 = 23112534215654123
BaseRepresentation
bin11011110001001000001100…
…101001001010010001011000
3121000101212121121022020202122
4123301020030221022101120
5112001332020411223112
61111422401454320412
734503055344165446
oct3361101451122130
9530355547266678
10122123312211032
1135a04229aa4300
12118443961b9108
13531b243144792
142222b2aaddb96
15e1ba9329e872
hex6f120ca4a458

122123312211032 has 96 divisors (see below), whose sum is σ = 257048124535440. Its totient is φ = 54333850771200.

The previous prime is 122123312211023. The next prime is 122123312211071. The reversal of 122123312211032 is 230112213321221.

It is a junction number, because it is equal to n+sod(n) for n = 122123312210992 and 122123312211010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18771923 + ... + 24426045.

Almost surely, 2122123312211032 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 122123312211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128524062267720).

122123312211032 is an abundant number, since it is smaller than the sum of its proper divisors (134924812324408).

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

122123312211032 is a wasteful number, since it uses less digits than its factorization.

122123312211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654625 (or 5654610 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122123312211032 its reverse (230112213321221), we get a palindrome (352235525532253).

The spelling of 122123312211032 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twelve million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 421 424 484 583 842 968 1166 1684 2332 3368 4631 4664 6413 9262 12826 18524 22313 25652 37048 44626 50941 51304 89252 101882 178504 203764 245443 407528 490886 981772 1963544 2699873 5399746 5654123 10799492 11308246 21598984 22616492 45232984 62195353 124390706 248781412 299668519 497562824 599337038 684148883 1198674076 1368297766 2380385783 2397348152 2736595532 3296353709 4760771566 5473191064 6592707418 9521543132 13185414836 19043086264 26184243613 26370829672 36259890799 52368487226 72519781598 104736974452 126160446499 145039563196 209473948904 252320892998 288026679743 290079126392 504641785996 576053359486 1009283571992 1152106718972 1387764911489 2304213437944 2775529822978 5551059645956 11102119291912 15265414026379 30530828052758 61061656105516 122123312211032