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122220001102212 = 223213299005305121
BaseRepresentation
bin11011110010100010001111…
…110000000000100110000100
3121000202010012000111211121100
4123302202033300000212010
5112004423030240232322
61111535032101020100
734513050364203456
oct3362421760004604
9530663160454540
10122220001102212
1135a41236398332
121185b07b0b4630
1353273b1982720
1422276a00d22d6
15e1e35198edac
hex6f288fc00984

122220001102212 has 72 divisors (see below), whose sum is σ = 344182761762840. Its totient is φ = 36309390243840.

The previous prime is 122220001102207. The next prime is 122220001102219. The reversal of 122220001102212 is 212201100022221.

It is a happy number.

122220001102212 is a `hidden beast` number, since 122 + 220 + 0 + 0 + 110 + 2 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4602852721476 + 117617148380736 = 2145426^2 + 10845144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122220001102219) 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 23 ways as a sum of consecutive naturals, for example, 4502638989 + ... + 4502666132.

It is an arithmetic number, because the mean of its divisors is an integer number (4780316135595).

Almost surely, 2122220001102212 is an apocalyptic number.

122220001102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122220001102212 is an abundant number, since it is smaller than the sum of its proper divisors (221962760660628).

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

122220001102212 is a wasteful number, since it uses less digits than its factorization.

122220001102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005305173 (or 9005305168 counting only the distinct ones).

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

Adding to 122220001102212 its reverse (212201100022221), we get a palindrome (334421101124433).

The spelling of 122220001102212 in words is "one hundred twenty-two trillion, two hundred twenty billion, one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 9005305121 18010610242 27015915363 36021220484 54031830726 81047746089 108063661452 117068966573 162095492178 234137933146 261153848509 324190984356 351206899719 468275866292 522307697018 702413799438 783461545527 1044615394036 1053620699157 1404827598876 1566923091054 2107241398314 2350384636581 3133846182108 3395000030617 4214482796628 4700769273162 6790000061234 9401538546324 10185000091851 13580000122468 20370000183702 30555000275553 40740000367404 61110000551106 122220001102212