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12120212220 = 22351715677583
BaseRepresentation
bin10110100100110101…
…11100001011111100
31011021200022120111220
423102122330023330
5144310233242340
65322402113340
7606231050454
oct132232741374
934250276456
1012120212220
11515a5a8916
12242304b850
1311b203420c
1482d990d64
154ae0b8ed0
hex2d26bc2fc

12120212220 has 96 divisors (see below), whose sum is σ = 35960537088. Its totient is φ = 3039593472.

The previous prime is 12120212213. The next prime is 12120212261. The reversal of 12120212220 is 2221202121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120212220.

It is a congruent number.

It is an unprimeable number.

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, 1594549 + ... + 1602131.

It is an arithmetic number, because the mean of its divisors is an integer number (374588928).

Almost surely, 212120212220 is an apocalyptic number.

12120212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980268544).

12120212220 is an abundant number, since it is smaller than the sum of its proper divisors (23840324868).

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

12120212220 is a wasteful number, since it uses less digits than its factorization.

12120212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12120212220 its reverse (2221202121), we get a palindrome (14341414341).

The spelling of 12120212220 in words is "twelve billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1567 3134 4701 6268 7583 7835 9402 15166 15670 18804 22749 23505 26639 30332 31340 37915 45498 47010 53278 75830 79917 90996 94020 106556 113745 128911 133195 151660 159834 227490 257822 266390 319668 386733 399585 454980 515644 532780 644555 773466 799170 1289110 1546932 1598340 1933665 2578220 3867330 7734660 11882561 23765122 35647683 47530244 59412805 71295366 118825610 142590732 178238415 202003537 237651220 356476830 404007074 606010611 712953660 808014148 1010017685 1212021222 2020035370 2424042444 3030053055 4040070740 6060106110 12120212220