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120221101210020 = 2235537127499579
BaseRepresentation
bin11011010101011100101000…
…000010000011100110100100
3120202200000200020201020211220
4123111130220002003212210
5111224200303402210040
61103404451135100340
734215454650360666
oct3325345002034644
9522600606636756
10120221101210020
1135340534525858
12115977a36716b0
135210a55309125
142198a377ac536
15dd736036a2d0
hex6d57280839a4

120221101210020 has 144 divisors (see below), whose sum is σ = 347869038242880. Its totient is φ = 31011055013120.

The previous prime is 120221101209991. The next prime is 120221101210061. The reversal of 120221101210020 is 20012101122021.

It is a super-2 number, since 2×1202211012100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12280591 + ... + 19780169.

It is an arithmetic number, because the mean of its divisors is an integer number (2415757210020).

Almost surely, 2120221101210020 is an apocalyptic number.

120221101210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221101210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173934519121440).

120221101210020 is an abundant number, since it is smaller than the sum of its proper divisors (227647937032860).

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

120221101210020 is a wasteful number, since it uses less digits than its factorization.

120221101210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499786 (or 7499713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120221101210020 its reverse (20012101122021), we get a palindrome (140233202332041).

The spelling of 120221101210020 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 71 106 142 159 212 213 265 284 318 355 426 530 636 710 795 852 1060 1065 1420 1590 2130 3180 3763 4260 5041 7526 10082 11289 15052 15123 18815 20164 22578 25205 30246 37630 45156 50410 56445 60492 75260 75615 100820 112890 151230 225780 267173 302460 534346 801519 1068692 1335865 1603038 2671730 3206076 4007595 5343460 7499579 8015190 14999158 16030380 22498737 29998316 37497895 44997474 74995790 89994948 112493685 149991580 224987370 397477687 449974740 532470109 794955374 1064940218 1192433061 1589910748 1597410327 1987388435 2129880436 2384866122 2662350545 3194820654 3974776870 4769732244 5324701090 5962165305 6389641308 7949553740 7987051635 10649402180 11924330610 15974103270 23848661220 28220915777 31948206540 37805377739 56441831554 75610755478 84662747331 112883663108 113416133217 141104578885 151221510956 169325494662 189026888695 226832266434 282209157770 338650989324 378053777390 423313736655 453664532868 564418315540 567080666085 756107554780 846627473310 1134161332170 1693254946620 2003685020167 2268322664340 4007370040334 6011055060501 8014740080668 10018425100835 12022110121002 20036850201670 24044220242004 30055275302505 40073700403340 60110550605010 120221101210020