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2120122202121 = 3371117193157213
BaseRepresentation
bin11110110110100001001…
…000010111100000001001
321111200101221221222021000
4132312201020113200021
5234214002240431441
64301545400405213
7306113414242620
oct36664110274011
97450357858230
102120122202121
117481587911a0
122a2a88776809
13124c07b66a91
14748861266b7
153a238a712b6
hex1eda1217809

2120122202121 has 128 divisors (see below), whose sum is σ = 4364532633600. Its totient is φ = 982019220480.

The previous prime is 2120122202111. The next prime is 2120122202123. The reversal of 2120122202121 is 1212022210212.

It is a happy number.

It is not a de Polignac number, because 2120122202121 - 214 = 2120122185737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120122202094 and 2120122202103.

It is not an unprimeable number, because it can be changed into a prime (2120122202123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 907090 + ... + 2250123.

It is an arithmetic number, because the mean of its divisors is an integer number (34097911200).

Almost surely, 22120122202121 is an apocalyptic number.

2120122202121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120122202121 is an abundant number, since it is smaller than the sum of its proper divisors (2244410431479).

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

2120122202121 is a wasteful number, since it uses less digits than its factorization.

2120122202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157276 (or 3157270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120122202121 its reverse (1212022210212), we get a palindrome (3332144412333).

The spelling of 2120122202121 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 17 19 21 27 33 51 57 63 77 99 119 133 153 171 187 189 209 231 297 323 357 399 459 513 561 627 693 969 1071 1197 1309 1463 1683 1881 2079 2261 2907 3213 3553 3591 3927 4389 5049 5643 6783 8721 10659 11781 13167 20349 24871 31977 35343 39501 61047 74613 95931 223839 671517 3157213 9471639 22100491 28414917 34729343 53672621 59987047 66301473 85244751 104188029 161017863 179961141 198904419 243105401 312564087 375708347 419909329 483053589 539883423 590398831 596713257 659857517 729316203 937692261 1019779799 1127125041 1259727987 1449160767 1619650269 1771196493 1979572551 2187948609 3059339397 3381375123 3779183961 4132791817 4619002619 5313589479 5938717653 6563845827 7138458593 9178018191 10144125369 11217577789 11337551883 12398375451 13857007857 15940768437 17816152959 21415375779 27534054573 33652733367 37195126353 41571023571 64246127337 78523044523 100958200101 111585379059 124713070713 192738382011 235569133569 302874600303 706707400707 2120122202121