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22121110422125 = 5311134781132467
BaseRepresentation
bin1010000011110011110001…
…11011011100001001101101
32220022202110012221020220122
411001321320323130021231
510344413013232002000
6115014144155454325
74442124511103441
oct501717073341155
986282405836818
1022121110422125
117059568156580
1225932771573a5
13c4601cac1b80
1456694b706821
1528564a55d085
hex141e78edc26d

22121110422125 has 128 divisors (see below), whose sum is σ = 33165510303744. Its totient is φ = 14516197920000.

The previous prime is 22121110422097. The next prime is 22121110422143. The reversal of 22121110422125 is 52122401112122.

It is a happy number.

It is not a de Polignac number, because 22121110422125 - 220 = 22121109373549 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22121110422094 and 22121110422103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681325142 + ... + 681357608.

It is an arithmetic number, because the mean of its divisors is an integer number (259105549248).

Almost surely, 222121110422125 is an apocalyptic number.

22121110422125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22121110422125 is a deficient number, since it is larger than the sum of its proper divisors (11044399881619).

22121110422125 is a wasteful number, since it uses less digits than its factorization.

22121110422125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33364 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 22121110422125 its reverse (52122401112122), we get a palindrome (74243511534247).

The spelling of 22121110422125 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred ten million, four hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 5 11 13 25 47 55 65 125 143 235 275 325 517 611 715 811 1175 1375 1625 2585 3055 3575 4055 5875 6721 8921 10543 12925 15275 17875 20275 32467 33605 38117 44605 52715 64625 76375 101375 115973 162335 168025 190585 223025 263575 357137 419287 422071 495521 579865 811675 840125 952925 1115125 1317875 1525949 1785685 2096435 2110355 2477605 2899325 4058375 4642781 4764625 5450731 7629745 8928425 10482175 10551775 12388025 14496625 16785439 19837337 23213905 26330737 27253655 38148725 44642125 52410875 52758875 61940125 83927195 99186685 116069525 131653685 136268275 190743625 218210707 289638107 342299581 419635975 495933425 580347625 658268425 681341375 1091053535 1237544639 1448190535 1711497905 2098179875 2479667125 3291342125 3765295391 5455267675 6187723195 7240952675 8557489525 13612991029 16088080307 18826476955 27276338375 30938615975 36204763375 42787447625 68064955145 80440401535 94132384775 154693079875 176968883377 340324775725 402202007675 470661923875 884844416885 1701623878625 2011010038375 4424222084425 22121110422125