Search a number
-
+
120100221122000 = 2453722338469001
BaseRepresentation
bin11011010011101100000011…
…000001000111010111010000
3120202020110122220111112112212
4123103230003001013113100
5111220210223101401000
61103233140243211252
734203645303521210
oct3323540301072720
9522213586445485
10120100221122000
11352a42438a9569
1211578289076b28
13520252c9aa722
142192c4b610240
15dd4137ebcc35
hex6d3b030475d0

120100221122000 has 160 divisors (see below), whose sum is σ = 333376679860224. Its totient is φ = 40992566400000.

The previous prime is 120100221121957. The next prime is 120100221122003. The reversal of 120100221122000 is 221122001021.

It is a super-2 number, since 2×1201002211220002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100221122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16112501 + ... + 22356500.

Almost surely, 2120100221122000 is an apocalyptic number.

120100221122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100221122000 is an abundant number, since it is smaller than the sum of its proper divisors (213276458738224).

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

120100221122000 is a wasteful number, since it uses less digits than its factorization.

120100221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469254 (or 38469238 counting only the distinct ones).

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

Adding to 120100221122000 its reverse (221122001021), we get a palindrome (120321343123021).

The spelling of 120100221122000 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 223 250 280 350 400 446 500 560 700 875 892 1000 1115 1400 1561 1750 1784 2000 2230 2800 3122 3500 3568 4460 5575 6244 7000 7805 8920 11150 12488 14000 15610 17840 22300 24976 27875 31220 39025 44600 55750 62440 78050 89200 111500 124880 156100 195125 223000 312200 390250 446000 624400 780500 1561000 3122000 38469001 76938002 153876004 192345005 269283007 307752008 384690010 538566014 615504016 769380020 961725025 1077132028 1346415035 1538760040 1923450050 2154264056 2692830070 3077520080 3846900100 4308528112 4808625125 5385660140 6732075175 7693800200 8578587223 9617250250 10771320280 13464150350 15387600400 17157174446 19234500500 21542640560 26928300700 33660375875 34314348892 38469001000 42892936115 53856601400 60050110561 67320751750 68628697784 76938002000 85785872230 107713202800 120100221122 134641503500 137257395568 171571744460 214464680575 240200442244 269283007000 300250552805 343143488920 428929361150 480400884488 538566014000 600501105610 686286977840 857858722300 960801768976 1072323402875 1201002211220 1501252764025 1715717444600 2144646805750 2402004422440 3002505528050 3431434889200 4289293611500 4804008844880 6005011056100 7506263820125 8578587223000 12010022112200 15012527640250 17157174446000 24020044224400 30025055280500 60050110561000 120100221122000