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120222011021022 = 232349947109118523
BaseRepresentation
bin11011010101011101011110…
…010000101101011011011110
3120202200010000122200102220200
4123111131132100231123132
5111224204134310133042
61103405121315324330
734215516335551131
oct3325353620553336
9522603018612820
10120222011021022
1135340961049279
12115979b82b06a6
135210b6b959331
142198ac2560218
15dd73b5183c4c
hex6d575e42d6de

120222011021022 has 96 divisors (see below), whose sum is σ = 261757057161600. Its totient is φ = 39878242367040.

The previous prime is 120222011021011. The next prime is 120222011021023. The reversal of 120222011021022 is 220120110222021.

It is a happy number.

120222011021022 is a `hidden beast` number, since 1 + 202 + 220 + 1 + 10 + 210 + 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 = 120222011020986 and 120222011021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222011021023) 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, 6490408653 + ... + 6490427175.

It is an arithmetic number, because the mean of its divisors is an integer number (2726636012100).

Almost surely, 2120222011021022 is an apocalyptic number.

120222011021022 is an abundant number, since it is smaller than the sum of its proper divisors (141535046140578).

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

120222011021022 is a wasteful number, since it uses less digits than its factorization.

120222011021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20918 (or 20915 counting only the distinct ones).

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

Adding to 120222011021022 its reverse (220120110222021), we get a palindrome (340342121243043).

The spelling of 120222011021022 in words is "one hundred twenty trillion, two hundred twenty-two billion, eleven million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 349 698 947 1047 1091 1894 2094 2182 2841 3141 3273 5682 6282 6546 8523 9819 17046 18523 19638 37046 55569 111138 166707 330503 333414 380759 661006 761518 991509 1033177 1142277 1983018 2066354 2284554 2974527 3099531 3426831 5949054 6199062 6464527 6853662 9298593 12929054 17541281 18597186 19393581 20208593 35082562 38787162 40417186 52623843 58180743 60625779 105247686 116361486 121251558 157871529 181877337 315743058 360578773 363754674 721157546 1081736319 2163472638 3245208957 6121907069 6490417914 7052798957 12243814138 14105597914 18365721207 19137537571 21158396871 36731442414 38275075142 42316793742 55097163621 57412612713 63475190613 110194327242 114825225426 126950381226 172237838139 344475676278 6679000612279 13358001224558 20037001836837 40074003673674 60111005510511 120222011021022