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12121131220 = 22511191288461
BaseRepresentation
bin10110100100111100…
…11100100011010100
31011021202001021010221
423102132130203110
5144311002144340
65322433524124
7606241625662
oct132236344324
934252037127
1012121131220
115160076320
122423413644
1311b22965c3
1482db4dc32
154ae1eb44a
hex2d279c8d4

12121131220 has 48 divisors (see below), whose sum is σ = 27913890816. Its totient is φ = 4384592000.

The previous prime is 12121131199. The next prime is 12121131241. The reversal of 12121131220 is 2213112121.

12121131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12121131199) and next prime (12121131241).

It is a junction number, because it is equal to n+sod(n) for n = 12121131194 and 12121131203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102211 + ... + 186250.

It is an arithmetic number, because the mean of its divisors is an integer number (581539392).

Almost surely, 212121131220 is an apocalyptic number.

12121131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121131220 is an abundant number, since it is smaller than the sum of its proper divisors (15792759596).

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

12121131220 is a wasteful number, since it uses less digits than its factorization.

12121131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288672 (or 288670 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12121131220 its reverse (2213112121), we get a palindrome (14334243341).

It can be divided in two parts, 12121 and 131220, that added together give a palindrome (143341).

The spelling of 12121131220 in words is "twelve billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3820 4202 8404 10505 21010 42020 288461 576922 1153844 1442305 2884610 3173071 5769220 6346142 12692284 15865355 31730710 55096051 63461420 110192102 220384204 275480255 550960510 606056561 1101921020 1212113122 2424226244 3030282805 6060565610 12121131220