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121122202002020 = 225231795897249449
BaseRepresentation
bin11011100010100011110101…
…110100110010001001100100
3120212212011120111211100211022
4123202203311310302021210
5111333431232203031040
61105334434344230312
734340535035623442
oct3342436564621144
9525764514740738
10121122202002020
11356587014209aa
121170236446b398
135277a0bb6253b
1421ca4bb05bb92
15e009ee3376b5
hex6e28f5d32264

121122202002020 has 96 divisors (see below), whose sum is σ = 266944706784000. Its totient is φ = 46075512141824.

The previous prime is 121122202001921. The next prime is 121122202002029. The reversal of 121122202002020 is 20200202221121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121122202002020.

It is not an unprimeable number, because it can be changed into a prime (121122202002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485434256 + ... + 485683704.

It is an arithmetic number, because the mean of its divisors is an integer number (2780674029000).

Almost surely, 2121122202002020 is an apocalyptic number.

121122202002020 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 121122202002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133472353392000).

121122202002020 is an abundant number, since it is smaller than the sum of its proper divisors (145822504781980).

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

121122202002020 is a wasteful number, since it uses less digits than its factorization.

121122202002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255557 (or 255555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 121122202002020 its reverse (20200202221121), we get a palindrome (141322404223141).

The spelling of 121122202002020 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 179 230 358 460 716 895 1790 3580 4117 5897 8234 11794 16468 20585 23588 29485 41170 58970 82340 117940 135631 249449 271262 498898 542524 678155 997796 1055563 1247245 1356310 2111126 2494490 2712620 4222252 4988980 5277815 5737327 10555630 11474654 21111260 22949308 24277949 28686635 44651371 48555898 57373270 89302742 97111796 114746540 121389745 178605484 223256855 242779490 446513710 485558980 893027420 1026981533 1471000753 2053963066 2942001506 4107926132 5134907665 5884003012 7355003765 10269815330 14710007530 20539630660 29420015060 33833017319 67666034638 135332069276 169165086595 263309134787 338330173190 526618269574 676660346380 1053236539148 1316545673935 2633091347870 5266182695740 6056110100101 12112220200202 24224440400404 30280550500505 60561101001010 121122202002020