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120120022001012 = 2211109193257504947
BaseRepresentation
bin11011010011111110011111…
…001111011110010101110100
3120202022100202212100102011012
4123103332133033132111310
5111221021301113013022
61103250213140531352
734205246060311355
oct3323763717362564
9522270685312135
10120120022001012
1135301684995a90
12115800943b0b58
135204367048197
142193ba92a1d2c
15dd48e6504de2
hex6d3f9f3de574

120120022001012 has 96 divisors (see below), whose sum is σ = 233528593415040. Its totient is φ = 53609268510720.

The previous prime is 120120022001003. The next prime is 120120022001081. The reversal of 120120022001012 is 210100220021021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237633923 + ... + 238138869.

It is an arithmetic number, because the mean of its divisors is an integer number (2432589514740).

Almost surely, 2120120022001012 is an apocalyptic number.

It is an amenable number.

120120022001012 is a deficient number, since it is larger than the sum of its proper divisors (113408571414028).

120120022001012 is a wasteful number, since it uses less digits than its factorization.

120120022001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505521 (or 505519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120120022001012 its reverse (210100220021021), we get a palindrome (330220242022033).

The spelling of 120120022001012 in words is "one hundred twenty trillion, one hundred twenty billion, twenty-two million, one thousand, twelve".

Divisors: 1 2 4 11 22 44 109 193 218 257 386 436 514 772 1028 1199 2123 2398 2827 4246 4796 5654 8492 11308 21037 28013 42074 49601 56026 84148 99202 112052 198404 231407 308143 462814 504947 545611 616286 925628 1009894 1091222 1232572 2019788 2182444 5406509 5554417 10813018 11108834 21626036 22217668 55039223 59471599 97454771 110078446 118943198 129771379 194909542 220156892 237886396 259542758 389819084 519085516 605431453 1072002481 1210862906 1427485169 2144004962 2421725812 2854970338 4288009924 5709940676 10622570039 14145080311 21245140078 25045876147 28290160622 42490280156 50091752294 56580321244 100183504588 116848270429 155595883421 233696540858 275504637617 311191766842 467393081716 551009275234 622383533684 1102018550468 2730000500023 5460001000046 10920002000092 30030005500253 60060011000506 120120022001012