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12121113020 = 2251016000551
BaseRepresentation
bin10110100100111100…
…11000000110111100
31011021202000100011212
423102132120012330
5144311001104040
65322433303552
7606241521632
oct132236300674
934252010155
1012121113020
115160063685
122423404bb8
1311b228b233
1482db47352
154ae1e5d65
hex2d27981bc

12121113020 has 24 divisors (see below), whose sum is σ = 25706364768. Its totient is φ = 4800440000.

The previous prime is 12121112929. The next prime is 12121113029. The reversal of 12121113020 is 2031112121.

12121113020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121211130202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121112986 and 12121113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121113029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2998256 + ... + 3002295.

It is an arithmetic number, because the mean of its divisors is an integer number (1071098532).

Almost surely, 212121113020 is an apocalyptic number.

12121113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121113020 is an abundant number, since it is smaller than the sum of its proper divisors (13585251748).

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

12121113020 is a wasteful number, since it uses less digits than its factorization.

12121113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000661 (or 6000659 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121113020 its reverse (2031112121), we get a palindrome (14152225141).

The spelling of 12121113020 in words is "twelve billion, one hundred twenty-one million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6000551 12001102 24002204 30002755 60005510 120011020 606055651 1212111302 2424222604 3030278255 6060556510 12121113020