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20021122121201 = 1723312612233917
BaseRepresentation
bin1001000110101100001111…
…10111110011110111110001
32121220000000102110102210222
410203112013313303313301
510111011224230334301
6110325324310302425
74134323033054105
oct443260767636761
977800012412728
1020021122121201
116419a01540353
1222b4289357a15
13b22ca32b60c6
144d305559d905
1524abde3a731b
hex123587df3df1

20021122121201 has 96 divisors (see below), whose sum is σ = 23341950019584. Its totient is φ = 17075464243200.

The previous prime is 20021122121191. The next prime is 20021122121219. The reversal of 20021122121201 is 10212122112002.

It is not a de Polignac number, because 20021122121201 - 222 = 20021117926897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 20021122121201.

It is not an unprimeable number, because it can be changed into a prime (20021122121251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5111338895 + ... + 5111342811.

It is an arithmetic number, because the mean of its divisors is an integer number (243145312704).

Almost surely, 220021122121201 is an apocalyptic number.

It is an amenable number.

20021122121201 is a deficient number, since it is larger than the sum of its proper divisors (3320827898383).

20021122121201 is a wasteful number, since it uses less digits than its factorization.

20021122121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20021122121201 its reverse (10212122112002), we get a palindrome (30233244233203).

The spelling of 20021122121201 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 17 23 31 61 223 391 527 713 961 1037 1403 1891 3791 3917 5129 6913 12121 13603 16337 22103 23851 32147 43493 58621 66589 87193 90091 117521 121427 158999 214303 231251 238937 312869 375751 421693 739381 873491 996557 1348283 1531547 2064259 2702983 2792821 3643151 3764237 4061929 4928969 5318773 5495551 7168781 7407047 9698939 13072483 14849347 20090293 22920811 27078221 47477957 53282951 63992029 83792473 86577451 93424367 125919799 164881963 170362081 222232211 229618457 300667109 341534981 460329757 622799083 839424851 905810167 1225507873 1471816667 1651771481 2896155377 3903513769 5111340853 5281224511 10587584411 14270222467 19306771573 20833633841 28080115177 37990744063 51204915911 89780816687 328215116741 645842649071 870483570487 1177713065953 20021122121201