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121231000 = 235311103107
BaseRepresentation
bin1110011100111…
…01011010011000
322110010011200001
413032131122120
5222013343000
620010222344
73001306102
oct716353230
9273104601
10121231000
1162482710
12347249b4
131c168327
141215a572
15a99a46a
hex739d698

121231000 has 128 divisors (see below), whose sum is σ = 315394560. Its totient is φ = 43248000.

The previous prime is 121230979. The next prime is 121231003. The reversal of 121231000 is 132121.

It is a super-2 number, since 2×1212310002 = 29393910722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121231003) 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, 1132947 + ... + 1133053.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 2121231000 is an apocalyptic number.

121231000 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 121231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157697280).

121231000 is an abundant number, since it is smaller than the sum of its proper divisors (194163560).

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

121231000 is a wasteful number, since it uses less digits than its factorization.

121231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121231000 is about 11010.4949934142. The cubic root of 121231000 is about 494.9232952600.

Adding to 121231000 its reverse (132121), we get a palindrome (121363121).

The spelling of 121231000 in words is "one hundred twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 103 107 110 125 200 206 214 220 250 275 412 428 440 500 515 535 550 824 856 1000 1030 1070 1100 1133 1177 1375 2060 2140 2200 2266 2354 2575 2675 2750 4120 4280 4532 4708 5150 5350 5500 5665 5885 9064 9416 10300 10700 11000 11021 11330 11770 12875 13375 20600 21400 22042 22660 23540 25750 26750 28325 29425 44084 45320 47080 51500 53500 55105 56650 58850 88168 103000 107000 110210 113300 117700 121231 141625 147125 220420 226600 235400 242462 275525 283250 294250 440840 484924 551050 566500 588500 606155 969848 1102100 1133000 1177000 1212310 1377625 2204200 2424620 2755250 3030775 4849240 5510500 6061550 11021000 12123100 15153875 24246200 30307750 60615500 121231000