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12222021010120 = 2351765119276011
BaseRepresentation
bin1011000111011010100100…
…1110001000001011001000
31121021102011122210000020021
42301312221032020023020
53100221144334310440
641554415142510224
72401004034322135
oct261665116101310
947242148700207
1012222021010120
11399236a261919
121454862135374
136a86bb008b5c
1430379854d58c
15162dc977384a
hexb1da93882c8

12222021010120 has 64 divisors (see below), whose sum is σ = 29117720332800. Its totient is φ = 4601144110080.

The previous prime is 12222021010117. The next prime is 12222021010123. The reversal of 12222021010120 is 2101012022221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12222021010117) and next prime (12222021010123).

It is a junction number, because it is equal to n+sod(n) for n = 12222021010094 and 12222021010103.

It is not an unprimeable number, because it can be changed into a prime (12222021010123) 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 15 ways as a sum of consecutive naturals, for example, 44142915 + ... + 44418925.

It is an arithmetic number, because the mean of its divisors is an integer number (454964380200).

Almost surely, 212222021010120 is an apocalyptic number.

12222021010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222021010120 is an abundant number, since it is smaller than the sum of its proper divisors (16895699322680).

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

12222021010120 is a wasteful number, since it uses less digits than its factorization.

12222021010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341158 (or 341154 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12222021010120 its reverse (2101012022221), we get a palindrome (14323033032341).

It can be divided in two parts, 1222202 and 1010120, that added together give a palindrome (2232322).

The spelling of 12222021010120 in words is "twelve trillion, two hundred twenty-two billion, twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 65119 130238 260476 276011 325595 520952 552022 651190 1104044 1107023 1302380 1380055 2208088 2214046 2604760 2760110 4428092 4692187 5520220 5535115 8856184 9384374 11040440 11070230 18768748 22140460 23460935 37537496 44280920 46921870 93843740 187687480 17973560309 35947120618 71894241236 89867801545 143788482472 179735603090 305550525253 359471206180 611101050506 718942412360 1222202101012 1527752626265 2444404202024 3055505252530 6111010505060 12222021010120