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121334000 = 24531931103
BaseRepresentation
bin1110011101101…
…10100011110000
322110022101221212
413032312203300
5222030142000
620012335252
73002215304
oct716664360
9273271855
10121334000
1162543037
1234774528
131c1a3188
1412185d04
15a9bac35
hex73b68f0

121334000 has 160 divisors (see below), whose sum is σ = 321884160. Its totient is φ = 44064000.

The previous prime is 121333991. The next prime is 121334011. The reversal of 121334000 is 433121.

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, 1177949 + ... + 1178051.

It is an arithmetic number, because the mean of its divisors is an integer number (2011776).

Almost surely, 2121334000 is an apocalyptic number.

121334000 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 121334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160942080).

121334000 is an abundant number, since it is smaller than the sum of its proper divisors (200550160).

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

121334000 is a wasteful number, since it uses less digits than its factorization.

121334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 121334000 is about 11015.1713559073. The cubic root of 121334000 is about 495.0634207758.

Adding to 121334000 its reverse (433121), we get a palindrome (121767121).

The spelling of 121334000 in words is "one hundred twenty-one million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 38 40 50 62 76 80 95 100 103 124 125 152 155 190 200 206 248 250 304 310 380 400 412 475 496 500 515 589 620 760 775 824 950 1000 1030 1178 1240 1520 1550 1648 1900 1957 2000 2060 2356 2375 2480 2575 2945 3100 3193 3800 3875 3914 4120 4712 4750 5150 5890 6200 6386 7600 7750 7828 8240 9424 9500 9785 10300 11780 12400 12772 12875 14725 15500 15656 15965 19000 19570 20600 23560 25544 25750 29450 31000 31312 31930 38000 39140 41200 47120 48925 51088 51500 58900 60667 62000 63860 73625 78280 79825 97850 103000 117800 121334 127720 147250 156560 159650 195700 206000 235600 242668 244625 255440 294500 303335 319300 391400 399125 485336 489250 589000 606670 638600 782800 798250 970672 978500 1178000 1213340 1277200 1516675 1596500 1957000 2426680 3033350 3193000 3914000 4853360 6066700 6386000 7583375 12133400 15166750 24266800 30333500 60667000 121334000