Search a number
-
+
122222012010021 = 327111274547305413
BaseRepresentation
bin11011110010100100000111…
…100111000000111000100101
3121000202022101011101112112100
4123302210013213000320211
5112004441140033310041
61111540003413442313
734513151252505450
oct3362440747007045
9530668334345470
10122222012010021
1135a42078505110
121185b540640399
1353276424788c1
1422278111ca497
15e1e41d2a96b6
hex6f29079c0e25

122222012010021 has 96 divisors (see below), whose sum is σ = 221888069664768. Its totient is φ = 62977957902720.

The previous prime is 122222012010019. The next prime is 122222012010023. The reversal of 122222012010021 is 120010210222221.

It is a happy number.

122222012010021 is a `hidden beast` number, since 1 + 222 + 220 + 1 + 201 + 0 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (122222012010019) and next prime (122222012010023).

It is not a de Polignac number, because 122222012010021 - 21 = 122222012010019 is a prime.

It is a super-3 number, since 3×1222220120100213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122222012009976 and 122222012010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122222012010023) 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, 400033311 + ... + 400338723.

It is an arithmetic number, because the mean of its divisors is an integer number (2311334059008).

Almost surely, 2122222012010021 is an apocalyptic number.

122222012010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122222012010021 is a deficient number, since it is larger than the sum of its proper divisors (99666057654747).

122222012010021 is a wasteful number, since it uses less digits than its factorization.

122222012010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310111 (or 310108 counting only the distinct ones).

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

Adding to 122222012010021 its reverse (120010210222221), we get a palindrome (242232222232242).

The spelling of 122222012010021 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, twelve million, ten thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 127 231 381 693 889 1143 1397 2667 4191 4547 8001 9779 12573 13641 29337 31829 40923 50017 88011 95487 150051 286461 305413 350119 450153 577469 916239 1050357 1732407 2137891 2748717 3151071 3359543 4042283 5197221 6352159 6413673 10078629 12126849 19056477 19241019 23516801 30235887 36380547 38787451 44465113 57169431 70550403 116362353 133395339 211651209 271512157 349087059 400186017 426661961 814536471 1279985883 1388712911 2443609413 2986633727 3839957649 4166138733 8959901181 9720990377 12498416199 15275842021 26879703543 29162971131 45827526063 87488913393 106930894147 137482578189 176366539697 320792682441 529099619091 962378047323 1234565777879 1587298857273 1940031936667 3703697333637 5820095810001 11111092000911 13580223556669 17460287430003 40740670670007 122222012010021