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1122202202121 = 337111397742499
BaseRepresentation
bin10000010101001000011…
…101101011000000001001
310222021121012102111101000
4100111020131223000021
5121341232230431441
62215311011445213
7144035134221540
oct20251035530011
93867535374330
101122202202121
113a2a17984070
121615a72b6809
1381a917a5990
143c45a041157
151e2cec212b6
hex1054876b009

1122202202121 has 128 divisors (see below), whose sum is σ = 2234534400000. Its totient is φ = 537555502080.

The previous prime is 1122202202117. The next prime is 1122202202137. The reversal of 1122202202121 is 1212022022211.

It is a happy number.

1122202202121 is a `hidden beast` number, since 1 + 12 + 220 + 220 + 212 + 1 = 666.

It is not a de Polignac number, because 1122202202121 - 22 = 1122202202117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122202202094 and 1122202202103.

It is not an unprimeable number, because it can be changed into a prime (1122202202171) 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, 26384130 + ... + 26426628.

It is an arithmetic number, because the mean of its divisors is an integer number (17457300000).

Almost surely, 21122202202121 is an apocalyptic number.

1122202202121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122202202121 is a deficient number, since it is larger than the sum of its proper divisors (1112332197879).

1122202202121 is a wasteful number, since it uses less digits than its factorization.

1122202202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43516 (or 43510 counting only the distinct ones).

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

Adding to 1122202202121 its reverse (1212022022211), we get a palindrome (2334224224332).

The spelling of 1122202202121 in words is "one trillion, one hundred twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 977 1001 1287 2079 2457 2931 3003 3861 6839 8793 9009 10747 12701 20517 26379 27027 32241 38103 42499 61551 75229 88907 96723 114309 127497 139711 184653 225687 266721 290169 297493 342927 382491 419133 467489 552487 677061 800163 892479 977977 1147473 1257399 1402467 1657461 2031183 2400489 2677437 2933931 3272423 3772197 3867409 4207401 4972383 6077357 8032311 8801793 9817269 11602227 12622203 14917149 18232071 26405379 29451807 34806681 41521523 42541499 54696213 88355421 104420043 124564569 127624497 164088639 290650661 373693707 382873491 456736753 539779799 871951983 1121081121 1148620473 1370210259 1619339397 2615855949 3197157271 3778458593 4110630777 4858018191 5937577789 7847567847 9591471813 11335375779 12331892331 14574054573 17812733367 28774415439 34006127337 41563044523 53438200101 86323246317 102018382011 124689133569 160314600303 374067400707 1122202202121