Search a number
-
+
121210122000 = 24353111836517
BaseRepresentation
bin111000011100010101…
…1111010111100010000
3102120212100020011210210
41300320223322330100
53441214242401000
6131403321324120
711520462015612
oct1607053727420
9376770204723
10121210122000
114744aa54750
121b5a9036640
13b578b13aa6
145c1bd4cdb2
153246340350
hex1c38afaf10

121210122000 has 160 divisors (see below), whose sum is σ = 426307250304. Its totient is φ = 29384256000.

The previous prime is 121210121993. The next prime is 121210122001. The reversal of 121210122000 is 221012121.

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

It is not an unprimeable number, because it can be changed into a prime (121210122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852259 + ... + 984258.

Almost surely, 2121210122000 is an apocalyptic number.

121210122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121210122000 is an abundant number, since it is smaller than the sum of its proper divisors (305097128304).

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

121210122000 is a wasteful number, since it uses less digits than its factorization.

121210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836554 (or 1836538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121210122000 its reverse (221012121), we get a palindrome (121431134121).

The spelling of 121210122000 in words is "one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 1836517 3673034 5509551 7346068 9182585 11019102 14692136 18365170 20201687 22038204 27547755 29384272 36730340 40403374 44076408 45912925 55095510 60605061 73460680 80806748 88152816 91825850 101008435 110191020 121210122 137738775 146921360 161613496 183651700 202016870 220382040 229564625 242420244 275477550 303025305 323226992 367303400 404033740 440764080 459129250 484840488 505042175 550955100 606050610 688693875 734606800 808067480 918258500 969680976 1010084350 1101910200 1212101220 1377387750 1515126525 1616134960 1836517000 2020168700 2203820400 2424202440 2525210875 2754775500 3030253050 3673034000 4040337400 4848404880 5050421750 5509551000 6060506100 7575632625 8080674800 10100843500 11019102000 12121012200 15151265250 20201687000 24242024400 30302530500 40403374000 60605061000 121210122000