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220122121100120 = 23572710141746429
BaseRepresentation
bin110010000011001100101100…
…110101011101101101011000
31001212101110200002111020002022
4302003030230311131231120
5212322440101000200440
62100054412330354012
764236204235506251
oct6203145465355530
91055343602436068
10220122121100120
11641572a3875408
1220831184b8b908
1395a9572024bb5
143c4dd78ba7b28
151a6ad3520ecb5
hexc8332cd5db58

220122121100120 has 64 divisors (see below), whose sum is σ = 496005601291200. Its totient is φ = 87918947550720.

The previous prime is 220122121100083. The next prime is 220122121100153. The reversal of 220122121100120 is 21001121221022.

220122121100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 294527066 + ... + 295273494.

It is an arithmetic number, because the mean of its divisors is an integer number (7750087520175).

Almost surely, 2220122121100120 is an apocalyptic number.

220122121100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122121100120 is an abundant number, since it is smaller than the sum of its proper divisors (275883480191080).

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

220122121100120 is a wasteful number, since it uses less digits than its factorization.

220122121100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757308 (or 757304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220122121100120 its reverse (21001121221022), we get a palindrome (241123242321142).

The spelling of 220122121100120 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 727 1454 2908 3635 5816 7270 10141 14540 20282 29080 40564 50705 81128 101410 202820 405640 746429 1492858 2985716 3732145 5971432 7372507 7464290 14745014 14928580 29490028 29857160 36862535 58980056 73725070 147450140 294900280 542653883 1085307766 2170615532 2713269415 4341231064 5426538830 7569536489 10853077660 15139072978 21706155320 30278145956 37847682445 60556291912 75695364890 151390729780 302781459560 5503053027503 11006106055006 22012212110012 27515265137515 44024424220024 55030530275030 110061060550060 220122121100120