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121212021002020 = 225132297873258581
BaseRepresentation
bin11011100011110111011111…
…011101000100111100100100
3120220011202102011010022121221
4123203313133131010330210
5111341414204334031040
61105444011141150124
734350164606545264
oct3343673735047444
9526152364108557
10121212021002020
1135692802957013
12117178506bb344
135283324320710
1421d099bcc17a4
15e0300985e74a
hex6e3ddf744f24

121212021002020 has 96 divisors (see below), whose sum is σ = 275358738100320. Its totient is φ = 44553938042880.

The previous prime is 121212021001997. The next prime is 121212021002071. The reversal of 121212021002020 is 20200120212121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 69519976082496 + 51692044919524 = 8337864^2 + 7189718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121212021001985 and 121212021002003.

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, 468629130 + ... + 468887710.

It is an arithmetic number, because the mean of its divisors is an integer number (2868320188545).

Almost surely, 2121212021002020 is an apocalyptic number.

121212021002020 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 121212021002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137679369050160).

121212021002020 is an abundant number, since it is smaller than the sum of its proper divisors (154146717098300).

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

121212021002020 is a wasteful number, since it uses less digits than its factorization.

121212021002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266705 (or 266703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121212021002020 its reverse (20200120212121), we get a palindrome (141412141214141).

The spelling of 121212021002020 in words is "one hundred twenty-one trillion, two hundred twelve billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5954 7873 11908 14885 15746 29770 31492 39365 59540 78730 102349 157460 204698 258581 409396 511745 517162 1023490 1034324 1292905 1802917 2046980 2585810 3361553 3605834 5171620 6723106 7211668 9014585 13446212 16807765 18029170 23437921 33615530 36058340 46875842 59215049 67231060 93751684 117189605 118430098 234379210 236860196 296075245 468758420 592150490 769795637 1184300980 1539591274 2035808213 3079182548 3848978185 4071616426 7697956370 8143232852 10179041065 15395912740 20358082130 26465506769 40716164260 52931013538 105862027076 132327533845 264655067690 466200080777 529310135380 932400161554 1864800323108 2331000403885 4662000807770 6060601050101 9324001615540 12121202100202 24242404200404 30303005250505 60606010501010 121212021002020