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1121202020022 = 237323344777
BaseRepresentation
bin10000010100001100110…
…110010001111010110110
310222012000111101222110120
4100110030312101322312
5121332210204120042
62215023442232410
7144001300632000
oct20241466217266
93865014358416
101121202020022
113a2554346497
12161368355706
1381962503956
143c3a3287370
151e272005dec
hex1050cd91eb6

1121202020022 has 128 divisors (see below), whose sum is σ = 2733965568000. Its totient is φ = 306408615744.

The previous prime is 1121202019991. The next prime is 1121202020023. The reversal of 1121202020022 is 2200202021211.

It is a junction number, because it is equal to n+sod(n) for n = 1121202019983 and 1121202020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121202020023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25017298 + ... + 25062074.

It is an arithmetic number, because the mean of its divisors is an integer number (21359106000).

Almost surely, 21121202020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121202020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366982784000).

1121202020022 is an abundant number, since it is smaller than the sum of its proper divisors (1612763547978).

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

1121202020022 is an frugal number, since it uses more digits than its factorization.

1121202020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44872 (or 44812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1121202020022 its reverse (2200202021211), we get a palindrome (3321404041233).

The spelling of 1121202020022 in words is "one trillion, one hundred twenty-one billion, two hundred two million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 529 686 966 1029 1058 1127 1587 2058 2254 3174 3381 3703 6762 7406 7889 11109 12167 15778 22218 23667 24334 25921 36501 44777 47334 51842 73002 77763 85169 89554 134331 155526 170338 181447 255507 268662 313439 362894 511014 544341 596183 626878 940317 1029871 1088682 1192366 1788549 1880634 2059742 2194073 3089613 3577098 4173281 4388146 6179226 6582219 7209097 8346562 12519843 13164438 14418194 15358511 21627291 23687033 25039686 30717022 43254582 46075533 47374066 50463679 71061099 92151066 100927358 142122198 151391037 165809231 302782074 331618462 353245753 497427693 544801759 706491506 994855386 1059737259 1089603518 1160664617 1634405277 2119474518 2321329234 3268810554 3481993851 3813612313 6963987702 7627224626 8124652319 11440836939 16249304638 22881673878 24373956957 26695286191 48747913914 53390572382 80085858573 160171717146 186867003337 373734006674 560601010011 1121202020022