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122421000012213 = 37317919112462767
BaseRepresentation
bin11011110101011101011100…
…001110000000000110110101
3121001110022222222102102000110
4123311131130032000012311
5112021221202000342323
61112211233033133233
734533424334561520
oct3365353416000665
9531408888372013
10122421000012213
11360094aaaa8391
121189201525a219
135340334c198b6
1422332cab19bb7
15e246b797c793
hex6f575c3801b5

122421000012213 has 64 divisors (see below), whose sum is σ = 196022391275520. Its totient is φ = 66491349163200.

The previous prime is 122421000012119. The next prime is 122421000012257. The reversal of 122421000012213 is 312210000124221.

It is a happy number.

It is not a de Polignac number, because 122421000012213 - 225 = 122420966457781 is a prime.

It is a super-2 number, since 2×1224210000122132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 122421000012213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122421000012013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3591556 + ... + 16054322.

It is an arithmetic number, because the mean of its divisors is an integer number (3062849863680).

Almost surely, 2122421000012213 is an apocalyptic number.

It is an amenable number.

122421000012213 is a deficient number, since it is larger than the sum of its proper divisors (73601391263307).

122421000012213 is a wasteful number, since it uses less digits than its factorization.

122421000012213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463078.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122421000012213 its reverse (312210000124221), we get a palindrome (434631000136434).

The spelling of 122421000012213 in words is "one hundred twenty-two trillion, four hundred twenty-one billion, twelve thousand, two hundred thirteen".

Divisors: 1 3 7 21 31 79 93 191 217 237 553 573 651 1337 1659 2449 4011 5921 7347 15089 17143 17763 41447 45267 51429 105623 124341 316869 467759 1403277 3274313 9822939 12462767 37388301 87239369 261718107 386345777 984558593 1159037331 2380388497 2704420439 2953675779 6891910151 7141165491 8113261317 16662719479 20675730453 30521316383 49988158437 73792043407 91563949149 188050691263 213649214681 221376130221 516544303849 564152073789 640947644043 1316354838841 1549632911547 3949064516523 5829571429153 17488714287459 40807000004071 122421000012213