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122101100120120 = 23511307903916939
BaseRepresentation
bin11011110000110011100000…
…101100110000100000111000
3121000022202021121100010020212
4123300303200230300200320
5112001001023112320440
61111404245424210252
734501341041424062
oct3360634054604070
9530282247303225
10122101100120120
11359a5870937680
1211840017469988
135319113394014
142221a20b10732
15e1b1e3229465
hex6f0ce0b30838

122101100120120 has 64 divisors (see below), whose sum is σ = 300678930921600. Its totient is φ = 44255773284480.

The previous prime is 122101100120113. The next prime is 122101100120189. The reversal of 122101100120120 is 21021001101221.

It is a junction number, because it is equal to n+sod(n) for n = 122101100120095 and 122101100120104.

It is a congruent number.

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, 451823390 + ... + 452093549.

It is an arithmetic number, because the mean of its divisors is an integer number (4698108295650).

Almost surely, 2122101100120120 is an apocalyptic number.

122101100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101100120120 is an abundant number, since it is smaller than the sum of its proper divisors (178577830801480).

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

122101100120120 is a wasteful number, since it uses less digits than its factorization.

122101100120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903917268 (or 903917264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101100120120 its reverse (21021001101221), we get a palindrome (143122101221341).

The spelling of 122101100120120 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 307 440 614 1228 1535 2456 3070 3377 6140 6754 12280 13508 16885 27016 33770 67540 135080 903916939 1807833878 3615667756 4519584695 7231335512 9039169390 9943086329 18078338780 19886172658 36156677560 39772345316 49715431645 79544690632 99430863290 198861726580 277502500273 397723453160 555005000546 1110010001092 1387512501365 2220020002184 2775025002730 3052527503003 5550050005460 6105055006006 11100100010920 12210110012012 15262637515015 24420220024024 30525275030030 61050550060060 122101100120120