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121231241200 = 24523159165707
BaseRepresentation
bin111000011100111110…
…0011110111111110000
3102120220210222010220101
41300321330132333300
53441240144204300
6131405354122144
711521136355616
oct1607174367760
9376823863811
10121231241200
1147460969933
121b5b4120354
13b5802c9764
145c20a896b6
153248112b6a
hex1c39f1eff0

121231241200 has 120 divisors (see below), whose sum is σ = 305751144960. Its totient is φ = 46132550400.

The previous prime is 121231241161. The next prime is 121231241207. The reversal of 121231241200 is 2142132121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121231241207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648747 + ... + 814453.

It is an arithmetic number, because the mean of its divisors is an integer number (2547926208).

Almost surely, 2121231241200 is an apocalyptic number.

121231241200 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 121231241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152875572480).

121231241200 is an abundant number, since it is smaller than the sum of its proper divisors (184519903760).

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

121231241200 is a wasteful number, since it uses less digits than its factorization.

121231241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165815 (or 165804 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 121231241200 its reverse (2142132121), we get a palindrome (123373373321).

It can be divided in two parts, 12123124 and 1200, that added together give a square (12124324 = 34822).

The spelling of 121231241200 in words is "one hundred twenty-one billion, two hundred thirty-one million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 59 62 80 100 118 124 155 200 236 248 295 310 400 472 496 590 620 775 944 1180 1240 1475 1550 1829 2360 2480 2950 3100 3658 4720 5900 6200 7316 9145 11800 12400 14632 18290 23600 29264 36580 45725 73160 91450 146320 165707 182900 331414 365800 662828 731600 828535 1325656 1657070 2651312 3314140 4142675 5136917 6628280 8285350 9776713 10273834 13256560 16570700 19553426 20547668 25684585 33141400 39106852 41095336 48883565 51369170 66282800 78213704 82190672 97767130 102738340 128422925 156427408 195534260 205476680 244417825 256845850 303078103 391068520 410953360 488835650 513691700 606156206 782137040 977671300 1027383400 1212312412 1515390515 1955342600 2054766800 2424624824 3030781030 3910685200 4849249648 6061562060 7576952575 12123124120 15153905150 24246248240 30307810300 60615620600 121231241200