Search a number
-
+
1221222022119 = 3211295919936229
BaseRepresentation
bin10001110001010110100…
…000010011101111100111
311022202012001200112102200
4101301112200103233213
5130002030314201434
62333004402105543
7154142006625441
oct21612640235747
94282161615380
101221222022119
11430a0aaa3450
1217882094b2b3
138b2121c7748
1443170c33491
1521b77d92199
hex11c56813be7

1221222022119 has 96 divisors (see below), whose sum is σ = 2034676800000. Its totient is φ = 698951151360.

The previous prime is 1221222022099. The next prime is 1221222022121. The reversal of 1221222022119 is 9112202221221.

1221222022119 is a `hidden beast` number, since 1 + 2 + 212 + 220 + 221 + 1 + 9 = 666.

It is not a de Polignac number, because 1221222022119 - 213 = 1221222013927 is a prime.

It is a super-2 number, since 2×12212220221192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221222022092 and 1221222022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221222022159) 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, 33690297 + ... + 33726525.

It is an arithmetic number, because the mean of its divisors is an integer number (21194550000).

Almost surely, 21221222022119 is an apocalyptic number.

1221222022119 is a deficient number, since it is larger than the sum of its proper divisors (813454777881).

1221222022119 is a wasteful number, since it uses less digits than its factorization.

1221222022119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36533 (or 36530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1221222022119 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred nineteen".

Divisors: 1 3 9 11 29 33 59 87 99 177 199 261 319 531 597 649 957 1711 1791 1947 2189 2871 5133 5771 5841 6567 11741 15399 17313 18821 19701 35223 36229 51939 56463 63481 105669 108687 129151 169389 190443 326061 340489 387453 398519 571329 1021467 1050641 1162359 1195557 2137511 3064401 3151923 3586671 3745379 6412533 7209571 9455769 11236137 11557051 19237599 21628713 23512621 33708411 34671153 61987819 64886139 70537863 79305281 104013459 185963457 209077559 211613589 237915843 425364689 557890371 627232677 681866009 713747529 1276094067 1881698031 2045598027 2299853149 3828282201 4679011579 6136794081 6899559447 12335575981 14037034737 20698678341 37006727943 42111104211 111020183829 135691335791 407074007373 1221222022119