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120010202222001 = 37213313754751253
BaseRepresentation
bin11011010010011000001101…
…011110010000110110110001
3120201220212022100001121111120
4123102120031132100312301
5111212221343232101001
61103123531545532453
734164310454506500
oct3322301536206661
9521825270047446
10120010202222001
113526a04a549643
1211562945aa4129
1351c6bb4c9b920
14218c74bdd2837
15dd1b1a15b236
hex6d260d790db1

120010202222001 has 96 divisors (see below), whose sum is σ = 212515459365888. Its totient is φ = 59604402977280.

The previous prime is 120010202221993. The next prime is 120010202222039. The reversal of 120010202222001 is 100222202010021.

It is not a de Polignac number, because 120010202222001 - 23 = 120010202221993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120010202222051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25183710 + ... + 29567543.

It is an arithmetic number, because the mean of its divisors is an integer number (2213702701728).

Almost surely, 2120010202222001 is an apocalyptic number.

It is an amenable number.

120010202222001 is a deficient number, since it is larger than the sum of its proper divisors (92505257143887).

120010202222001 is a wasteful number, since it uses less digits than its factorization.

120010202222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54751351 (or 54751344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120010202222001 its reverse (100222202010021), we get a palindrome (220232404232022).

The spelling of 120010202222001 in words is "one hundred twenty trillion, ten billion, two hundred two million, two hundred twenty-two thousand, one".

Divisors: 1 3 7 13 21 31 37 39 49 91 93 111 147 217 259 273 403 481 637 651 777 1147 1209 1443 1519 1813 1911 2821 3367 3441 4557 5439 8029 8463 10101 14911 19747 23569 24087 44733 56203 59241 70707 104377 168609 313131 730639 2191917 54751253 164253759 383258771 711766289 1149776313 1697288843 2025796361 2135298867 2682811397 4982364023 5091866529 6077389083 8048434191 11881021901 14180574527 14947092069 22064754959 26335352693 34876548161 35643065703 42541723581 62799687191 66194264877 79006058079 83167153307 99264021689 104629644483 154453284713 184347468851 188399061573 249501459921 297792065067 439597810337 463359854139 553042406553 816395933483 1081172992991 1290432281957 1318793431011 2449187800449 3077184672359 3243518978973 3871296845871 5714771534381 9231554017077 17144314603143 40003400740667 120010202222001