Search a number
-
+
122120031000 = 23353113700607
BaseRepresentation
bin111000110111011101…
…0111100101100011000
3102200012202101100022010
41301232322330230120
54000100211443000
6132033504025520
711552151064542
oct1615672745430
9380182340263
10122120031000
1147877634860
121b8019022a0
13b692499796
145ca6b28692
15329b177d50
hex1c6eebcb18

122120031000 has 128 divisors (see below), whose sum is σ = 415652290560. Its totient is φ = 29604848000.

The previous prime is 122120030971. The next prime is 122120031067. The reversal of 122120031000 is 130021221.

It is a super-2 number, since 2×1221200310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1817304 + ... + 1883303.

It is an arithmetic number, because the mean of its divisors is an integer number (3247283520).

Almost surely, 2122120031000 is an apocalyptic number.

122120031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120031000 is an abundant number, since it is smaller than the sum of its proper divisors (293532259560).

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

122120031000 is a wasteful number, since it uses less digits than its factorization.

122120031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700642 (or 3700628 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122120031000 its reverse (130021221), we get a palindrome (122250052221).

The spelling of 122120031000 in words is "one hundred twenty-two billion, one hundred twenty million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3700607 7401214 11101821 14802428 18503035 22203642 29604856 37006070 40706677 44407284 55509105 74012140 81413354 88814568 92515175 111018210 122120031 148024280 162826708 185030350 203533385 222036420 244240062 277545525 325653416 370060700 407066770 444072840 462575875 488480124 555091050 610600155 740121400 814133540 925151750 976960248 1017666925 1110182100 1221200310 1387727625 1628267080 1850303500 2035333850 2220364200 2442400620 2775455250 3053000775 3700607000 4070667700 4884801240 5088334625 5550910500 6106001550 8141335400 10176669250 11101821000 12212003100 15265003875 20353338500 24424006200 30530007750 40706677000 61060015500 122120031000