Search a number
-
+
120212102122000 = 2453726931920367
BaseRepresentation
bin11011010101010100001111…
…101001010000101000010000
3120202122011110002100012211121
4123111110033221100220100
5111224023341120401000
61103400402145252024
734215015645365530
oct3325241751205020
9522564402305747
10120212102122000
11353377367a7829
1211595ab1934014
13520cc4cab7c85
1421984225534c0
15dd6ed52bdb1a
hex6d550fa50a10

120212102122000 has 160 divisors (see below), whose sum is σ = 333432503239680. Its totient is φ = 41062358822400.

The previous prime is 120212102121973. The next prime is 120212102122009. The reversal of 120212102122000 is 221201212021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120212102122009) 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, 12194184 + ... + 19726183.

It is an arithmetic number, because the mean of its divisors is an integer number (2083953145248).

Almost surely, 2120212102122000 is an apocalyptic number.

120212102122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212102122000 is an abundant number, since it is smaller than the sum of its proper divisors (213220401117680).

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

120212102122000 is a wasteful number, since it uses less digits than its factorization.

120212102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31920666 (or 31920650 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120212102122000 its reverse (221201212021), we get a palindrome (120433303334021).

The spelling of 120212102122000 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 269 280 350 400 500 538 560 700 875 1000 1076 1345 1400 1750 1883 2000 2152 2690 2800 3500 3766 4304 5380 6725 7000 7532 9415 10760 13450 14000 15064 18830 21520 26900 30128 33625 37660 47075 53800 67250 75320 94150 107600 134500 150640 188300 235375 269000 376600 470750 538000 753200 941500 1883000 3766000 31920367 63840734 127681468 159601835 223442569 255362936 319203670 446885138 510725872 638407340 798009175 893770276 1117212845 1276814680 1596018350 1787540552 2234425690 2553629360 3192036700 3575081104 3990045875 4468851380 5586064225 6384073400 7980091750 8586578723 8937702760 11172128450 12768146800 15960183500 17173157446 17875405520 22344256900 27930321125 31920367000 34346314892 42932893615 44688513800 55860642250 60106051061 63840734000 68692629784 85865787230 89377027600 111721284500 120212102122 137385259568 171731574460 214664468075 223442569000 240424204244 300530255305 343463148920 429328936150 446885138000 480848408488 601060510610 686926297840 858657872300 961696816976 1073322340375 1202121021220 1502651276525 1717315744600 2146644680750 2404242042440 3005302553050 3434631489200 4293289361500 4808484084880 6010605106100 7513256382625 8586578723000 12021210212200 15026512765250 17173157446000 24042420424400 30053025530500 60106051061000 120212102122000