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12210121012100 = 22521123574709423
BaseRepresentation
bin1011000110101110001111…
…1011001111001110000100
31121020021110022211110210212
42301223203323033032010
53100022311434341400
641545130244334552
72400103116106304
oct261534373171604
947207408743725
1012210121012100
113988312aa3210
1214524a09a4458
136a75427b89cb
14302d89d23604
1516292eba8335
hexb1ae3ecf384

12210121012100 has 72 divisors (see below), whose sum is σ = 28916955946368. Its totient is φ = 4438159292800.

The previous prime is 12210121012097. The next prime is 12210121012123. The reversal of 12210121012100 is 121012101221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237989 + ... + 4947411.

It is an arithmetic number, because the mean of its divisors is an integer number (401624388144).

Almost surely, 212210121012100 is an apocalyptic number.

12210121012100 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 12210121012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458477973184).

12210121012100 is an abundant number, since it is smaller than the sum of its proper divisors (16706834934268).

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

12210121012100 is a wasteful number, since it uses less digits than its factorization.

12210121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711805 (or 4711798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12210121012100 its reverse (121012101221), we get a palindrome (12331133113321).

The spelling of 12210121012100 in words is "twelve trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2357 4714 9428 11785 23570 25927 47140 51854 58925 103708 117850 129635 235700 259270 518540 648175 1296350 2592700 4709423 9418846 18837692 23547115 47094230 51803653 94188460 103607306 117735575 207214612 235471150 259018265 470942300 518036530 1036073060 1295091325 2590182650 5180365300 11100110011 22200220022 44400440044 55500550055 111001100110 122101210121 222002200220 244202420242 277502750275 488404840484 555005500550 610506050605 1110011001100 1221012101210 2442024202420 3052530253025 6105060506050 12210121012100