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12100122210020 = 22513833071826417
BaseRepresentation
bin1011000000010100011101…
…1111000110111011100100
31120211202112022200100200012
42300011013133012323210
53041222022241210040
641422415220305352
72356130210525315
oct260050737067344
946752468610605
1012100122210020
1139456a65a1119
121435102542258
1369a06261b140
142db912d7260c
1515eb42c4a865
hexb01477c6ee4

12100122210020 has 96 divisors (see below), whose sum is σ = 27784814859648. Its totient is φ = 4399529306112.

The previous prime is 12100122209941. The next prime is 12100122210047. The reversal of 12100122210020 is 2001222100121.

12100122210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12100122209977 and 12100122210004.

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, 5711852 + ... + 7538268.

It is an arithmetic number, because the mean of its divisors is an integer number (289425154788).

Almost surely, 212100122210020 is an apocalyptic number.

12100122210020 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 12100122210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892407429824).

12100122210020 is an abundant number, since it is smaller than the sum of its proper divisors (15684692649628).

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

12100122210020 is a wasteful number, since it uses less digits than its factorization.

12100122210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826829 (or 1826827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12100122210020 its reverse (2001222100121), we get a palindrome (14101344310141).

The spelling of 12100122210020 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 307 332 415 614 830 1079 1228 1535 1660 2158 3070 3991 4316 5395 6140 7982 10790 15964 19955 21580 25481 39910 50962 79820 101924 127405 254810 331253 509620 662506 1325012 1656265 1826417 3312530 3652834 6625060 7305668 9132085 18264170 23743421 36528340 47486842 94973684 118717105 151592611 237434210 303185222 474868420 560710019 606370444 757963055 1121420038 1515926110 1970703943 2242840076 2803550095 3031852220 3941407886 5607100190 7289230247 7882815772 9853519715 11214200380 14578460494 19707039430 29156920988 36446151235 39414078860 46538931577 72892302470 93077863154 145784604940 186155726308 232694657885 465389315770 605006110501 930778631540 1210012221002 2420024442004 3025030552505 6050061105010 12100122210020