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120221201102022 = 232371632115248519
BaseRepresentation
bin11011010101011100101101…
…111111000111010011000110
3120202200000221012200021220200
4123111130231333013103012
5111224201004440231042
61103404505104111330
734215460302423216
oct3325345577072306
9522600835607820
10120221201102022
1135340585953129
1211597811005546
135210a6cc12717
142198a46b72246
15dd7368eecc4c
hex6d572dfc74c6

120221201102022 has 96 divisors (see below), whose sum is σ = 270436165259520. Its totient is φ = 38567789789760.

The previous prime is 120221201102017. The next prime is 120221201102029. The reversal of 120221201102022 is 220201102122021.

It is a happy number.

120221201102022 is a `hidden beast` number, since 120 + 221 + 201 + 102 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120221201101986 and 120221201102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221201102029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20281479 + ... + 25529997.

It is an arithmetic number, because the mean of its divisors is an integer number (2817043388120).

Almost surely, 2120221201102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221201102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135218082629760).

120221201102022 is an abundant number, since it is smaller than the sum of its proper divisors (150214964157498).

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

120221201102022 is a wasteful number, since it uses less digits than its factorization.

120221201102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248938 (or 5248935 counting only the distinct ones).

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

Adding to 120221201102022 its reverse (220201102122021), we get a palindrome (340422303224043).

The spelling of 120221201102022 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred one million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 163 211 222 326 333 422 489 633 666 978 1266 1467 1899 2934 3798 6031 7807 12062 15614 18093 23421 34393 36186 46842 54279 68786 70263 103179 108558 140526 206358 309537 619074 1272541 2545082 3817623 5248519 7635246 10497038 11452869 15745557 22905738 31491114 47236671 94473342 194195203 388390406 582585609 855508597 1107437509 1165171218 1711017194 1747756827 2214875018 2566525791 3322312527 3495513654 5133051582 6644625054 7699577373 9966937581 15399154746 19933875162 31653818089 40975187833 63307636178 81950375666 94961454267 122925563499 180512313967 189922908534 245851126998 284884362801 361024627934 368776690497 541536941901 569768725602 737553380994 1083073883802 1624610825703 3249221651406 6678955616779 13357911233558 20036866850337 40073733700674 60110600551011 120221201102022