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12121321100 = 22527222311093
BaseRepresentation
bin10110100100111110…
…01010111010001100
31011021202101220121112
423102133022322030
5144311024233400
65322441551152
7606243346400
oct132237127214
934252356545
1012121321100
115160195a49
1224234a54b8
1311b2331b65
1482db9d100
154ae237835
hex2d27cae8c

12121321100 has 108 divisors (see below), whose sum is σ = 30737657664. Its totient is φ = 4136872320.

The previous prime is 12121321097. The next prime is 12121321109. The reversal of 12121321100 is 112312121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12121321109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1087154 + ... + 1098246.

Almost surely, 212121321100 is an apocalyptic number.

12121321100 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 12121321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15368828832).

12121321100 is an abundant number, since it is smaller than the sum of its proper divisors (18616336564).

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

12121321100 is a wasteful number, since it uses less digits than its factorization.

12121321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121321100 its reverse (112312121), we get a palindrome (12233633221).

The spelling of 12121321100 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 223 245 350 446 490 700 892 980 1115 1225 1561 2230 2450 3122 4460 4900 5575 6244 7805 10927 11093 11150 15610 21854 22186 22300 31220 39025 43708 44372 54635 55465 77651 78050 109270 110930 155302 156100 218540 221860 273175 277325 310604 388255 543557 546350 554650 776510 1087114 1092700 1109300 1553020 1941275 2174228 2473739 2717785 3882550 4947478 5435570 7765100 9894956 10871140 12368695 13588925 17316173 24737390 27177850 34632346 49474780 54355700 61843475 69264692 86580865 121213211 123686950 173161730 242426422 247373900 346323460 432904325 484852844 606066055 865808650 1212132110 1731617300 2424264220 3030330275 6060660550 12121321100