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12121320222 = 23311131155773
BaseRepresentation
bin10110100100111110…
…01010101100011110
31011021202101212102000
423102133022230132
5144311024221342
65322441543130
7606243344004
oct132237125436
934252355360
1012121320222
115160195320
1224234a4aa6
1311b233163b
1482db9ca74
154ae23744c
hex2d27cab1e

12121320222 has 64 divisors (see below), whose sum is σ = 29609521920. Its totient is φ = 3645064800.

The previous prime is 12121320193. The next prime is 12121320223. The reversal of 12121320222 is 22202312121.

12121320222 is a `hidden beast` number, since 1 + 2 + 121 + 320 + 222 = 666.

It is a super-2 number, since 2×121213202222 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12121320195 and 12121320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121320223) 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 31 ways as a sum of consecutive naturals, for example, 73 + ... + 155700.

It is an arithmetic number, because the mean of its divisors is an integer number (462648780).

Almost surely, 212121320222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121320222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804760960).

12121320222 is an abundant number, since it is smaller than the sum of its proper divisors (17488201698).

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

12121320222 is a wasteful number, since it uses less digits than its factorization.

12121320222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155926 (or 155920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12121320222 its reverse (22202312121), we get a palindrome (34323632343).

The spelling of 12121320222 in words is "twelve billion, one hundred twenty-one million, three hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 131 198 262 297 393 594 786 1179 1441 2358 2882 3537 4323 7074 8646 12969 25938 38907 77814 155773 311546 467319 934638 1401957 1713503 2803914 3427006 4205871 5140509 8411742 10281018 15421527 20406263 30843054 40812526 46264581 61218789 92529162 122437578 183656367 224468893 367312734 448937786 550969101 673406679 1101938202 1346813358 2020220037 4040440074 6060660111 12121320222