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2121120221202 = 2323137179573953
BaseRepresentation
bin11110110111011100100…
…111100000100000010010
321111202222111220121001200
4132313130213200200102
5234223023234034302
64302232411412030
7306150223253343
oct36673447404022
97452874817050
102121120221202
11748620081754
122a3106a54016
1312503685c408
147493c8ba0ca
153a2964b081c
hex1eddc9e0812

2121120221202 has 96 divisors (see below), whose sum is σ = 4899455009280. Its totient is φ = 662019194880.

The previous prime is 2121120221179. The next prime is 2121120221261. The reversal of 2121120221202 is 2021220211212.

It is a happy number.

2121120221202 is a `hidden beast` number, since 2 + 121 + 120 + 221 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3408658 + ... + 3982610.

It is an arithmetic number, because the mean of its divisors is an integer number (51035989680).

Almost surely, 22121120221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121120221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449727504640).

2121120221202 is an abundant number, since it is smaller than the sum of its proper divisors (2778334788078).

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

2121120221202 is a wasteful number, since it uses less digits than its factorization.

2121120221202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574208 (or 574205 counting only the distinct ones).

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

Adding to 2121120221202 its reverse (2021220211212), we get a palindrome (4142340432414).

The spelling of 2121120221202 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 179 186 222 279 333 358 537 558 666 1074 1147 1611 2294 3222 3441 5549 6623 6882 10323 11098 13246 16647 19869 20646 33294 39738 49941 59607 99882 119214 205313 410626 573953 615939 1147906 1231878 1721859 1847817 3443718 3695634 5165577 10331154 17792543 21236261 35585086 42472522 53377629 63708783 102737587 106755258 127417566 160132887 191126349 205475174 308212761 320265774 382252698 616425522 658324091 924638283 1316648182 1849276566 1974972273 3184865197 3801290719 3949944546 5924916819 6369730394 7602581438 9554595591 11403872157 11849833638 19109191182 22807744314 28663786773 34211616471 57327573546 68423232942 117840012289 235680024578 353520036867 707040073734 1060560110601 2121120221202