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12021100010020 = 22541271296318257
BaseRepresentation
bin1010111011101110000101…
…1001010101101000100100
31120120012120010110200010001
42232323201121111220210
53033423203100310040
641322230032311044
72350332031103503
oct256734131255044
946505503420101
1012021100010020
113915135625712
12142192a0a2484
1369277ac4c90a
142d7b7800683a
1515ca6a52559a
hexaeee1655a24

12021100010020 has 96 divisors (see below), whose sum is σ = 25965631351296. Its totient is φ = 4672017100800.

The previous prime is 12021100009973. The next prime is 12021100010027. The reversal of 12021100010020 is 2001000112021.

12021100010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021100009979 and 12021100010006.

It is not an unprimeable number, because it can be changed into a prime (12021100010027) 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, 658428732 + ... + 658446988.

It is an arithmetic number, because the mean of its divisors is an integer number (270475326576).

Almost surely, 212021100010020 is an apocalyptic number.

12021100010020 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 12021100010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982815675648).

12021100010020 is an abundant number, since it is smaller than the sum of its proper divisors (13944531341276).

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

12021100010020 is a wasteful number, since it uses less digits than its factorization.

12021100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21541 (or 21539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12021100010020 its reverse (2001000112021), we get a palindrome (14022100122041).

The spelling of 12021100010020 in words is "twelve trillion, twenty-one billion, one hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 2963 5420 5926 11111 11852 14815 18257 22222 29630 36514 44444 55555 59260 73028 91285 111110 121483 182570 222220 242966 365140 485932 607415 748537 802973 1214830 1497074 1605946 2429660 2994148 3211892 3742685 4014865 4947647 7485370 8029730 9895294 14970740 16059460 19790588 24738235 32921893 49476470 54095491 65843786 98952940 108190982 131687572 164609465 202853527 216381964 270477455 329218930 405707054 540954910 658437860 811414108 1014267635 1081909820 2028535270 2217915131 4057070540 4435830262 8871660524 11089575655 14659878061 22179151310 29319756122 44358302620 58639512244 73299390305 146598780610 293197561220 601055000501 1202110001002 2404220002004 3005275002505 6010550005010 12021100010020