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120122122002201 = 34115319971273771
BaseRepresentation
bin11011010100000000011100…
…011010010101111100011001
3120202022120012012212112020000
4123110000130122111330121
5111221040101213032301
61103251201355123213
734205352110111664
oct3324003432257431
9522276165775200
10120122122002201
1135302562324a60
121158057b743509
135204610136737
142193d2814c6db
15dd49baa6c786
hex6d401c695f19

120122122002201 has 80 divisors (see below), whose sum is σ = 199548082122048. Its totient is φ = 71391853353600.

The previous prime is 120122122002193. The next prime is 120122122002209. The reversal of 120122122002201 is 102200221221021.

It is a happy number.

120122122002201 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 221 + 220 + 0 + 220 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (120122122002193) and next prime (120122122002209).

It is not a de Polignac number, because 120122122002201 - 23 = 120122122002193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120122122002209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93667446 + ... + 94941216.

Almost surely, 2120122122002201 is an apocalyptic number.

120122122002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120122122002201 is a deficient number, since it is larger than the sum of its proper divisors (79425960119847).

120122122002201 is a wasteful number, since it uses less digits than its factorization.

120122122002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275844 (or 1275835 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120122122002201 its reverse (102200221221021), we get a palindrome (222322343223222).

The spelling of 120122122002201 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two thousand, two hundred one".

Divisors: 1 3 9 11 27 33 53 81 99 159 297 477 583 891 1431 1749 1997 4293 5247 5991 15741 17973 21967 47223 53919 65901 105841 161757 197703 317523 593109 952569 1164251 1273771 1779327 2857707 3492753 3821313 8573121 10478259 11463939 14011481 31434777 34391817 42034443 67509863 94304331 103175451 126103329 202529589 378309987 607588767 742608493 1134929961 1822766301 2227825479 2543720687 5468298903 6683476437 7631162061 20050429311 22893486183 27980927557 60151287933 68680458549 83942782671 134817196411 206041375647 251828348013 404451589233 755485044039 1213354767699 1482989160521 2266455132117 3640064303097 4448967481563 10920192909291 13346902444689 40040707334067 120122122002201