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121210101221020 = 225741178911803657
BaseRepresentation
bin11011100011110101101101…
…000001101100011010011100
3120220011120110100201100011221
4123203311231001230122130
5111341401241403033040
61105443052441423124
734350066205641160
oct3343655501543234
9526146410640157
10121210101221020
1135691a08220149
12117173b579aaa4
1352830a9682326
1421d0858d48ca0
15e02e4604574a
hex6e3d6d06c69c

121210101221020 has 96 divisors (see below), whose sum is σ = 298166066835840. Its totient is φ = 40521478901760.

The previous prime is 121210101220987. The next prime is 121210101221023. The reversal of 121210101221020 is 20122101012121.

It is a junction number, because it is equal to n+sod(n) for n = 121210101220985 and 121210101221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210101221023) 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, 4367032 + ... + 16170688.

It is an arithmetic number, because the mean of its divisors is an integer number (3105896529540).

Almost surely, 2121210101221020 is an apocalyptic number.

121210101221020 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 121210101221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149083033417920).

121210101221020 is an abundant number, since it is smaller than the sum of its proper divisors (176955965614820).

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

121210101221020 is a wasteful number, since it uses less digits than its factorization.

121210101221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805503 (or 11805501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121210101221020 its reverse (20122101012121), we get a palindrome (141332202233141).

The spelling of 121210101221020 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1789 2870 3578 5740 7156 8945 12523 17890 25046 35780 50092 62615 73349 125230 146698 250460 293396 366745 513443 733490 1026886 1466980 2053772 2567215 5134430 10268860 11803657 23607314 47214628 59018285 82625599 118036570 165251198 236073140 330502396 413127995 483949937 826255990 967899874 1652511980 1935799748 2419749685 3387649559 4839499370 6775299118 9678998740 13550598236 16938247795 21116742373 33876495590 42233484746 67752991180 84466969492 105583711865 147817196611 211167423730 295634393222 422334847460 591268786444 739085983055 865786437293 1478171966110 1731572874586 2956343932220 3463145749172 4328932186465 6060505061051 8657864372930 12121010122102 17315728745860 24242020244204 30302525305255 60605050610510 121210101221020