Search a number
-
+
120001122101223 = 34117113713846139
BaseRepresentation
bin11011010010001111110000…
…010000010110011111100111
3120201212222212112012200110000
4123102033300100112133213
5111212044244224214343
61103115430543232343
734163536446660246
oct3322176020263747
9521788775180400
10120001122101223
11352662100044a0
1211561030ba86b3
1351c6098a482ac
14218c12a0c295d
15dd1787e04ed3
hex6d23f04167e7

120001122101223 has 80 divisors (see below), whose sum is σ = 199759258702080. Its totient is φ = 71180226230400.

The previous prime is 120001122101177. The next prime is 120001122101351. The reversal of 120001122101223 is 322101221100021.

120001122101223 is a `hidden beast` number, since 120 + 0 + 0 + 112 + 210 + 1 + 223 = 666.

It is not a de Polignac number, because 120001122101223 - 29 = 120001122100711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120001122101196 and 120001122101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001122106223) 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, 1743688 + ... + 15589826.

It is an arithmetic number, because the mean of its divisors is an integer number (2496990733776).

Almost surely, 2120001122101223 is an apocalyptic number.

120001122101223 is a deficient number, since it is larger than the sum of its proper divisors (79758136600857).

120001122101223 is a wasteful number, since it uses less digits than its factorization.

120001122101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13846370 (or 13846361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120001122101223 its reverse (322101221100021), we get a palindrome (442102343201244).

The spelling of 120001122101223 in words is "one hundred twenty trillion, one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 71 81 99 137 213 297 411 639 781 891 1233 1507 1917 2343 3699 4521 5751 7029 9727 11097 13563 21087 29181 40689 63261 87543 106997 122067 262629 320991 787887 962973 2888919 8666757 13846139 41538417 124615251 152307529 373845753 456922587 983075869 1121537259 1370767761 1896921043 2949227607 4112303283 5690763129 8847682821 10813834559 12336909849 17072289387 20866131473 26543048463 32441503677 51216868161 62598394419 79629145389 97324511031 134681394053 153650604483 187795183257 291973533093 404044182159 563385549771 875920599279 1212132546477 1481495334583 1690156649313 3636397639431 4444486003749 10909192918293 13333458011247 40000374033741 120001122101223