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12211011312020 = 225174632167537
BaseRepresentation
bin1011000110110001100011…
…1111011101100110010100
31121020100202101002101200222
42301230120333131212110
53100031122343441040
641545354450453512
72400134146405013
oct261543077354624
947210671071628
1012211011312020
11398872a5aa774
1214526aab94298
136a76550971b1
14303032276a7a
15162982e1abb5
hexb1b18fdd994

12211011312020 has 72 divisors (see below), whose sum is σ = 27210474512424. Its totient is φ = 4587130318848.

The previous prime is 12211011312001. The next prime is 12211011312121. The reversal of 12211011312020 is 2021311011221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6565084066564 + 5645927245456 = 2562242^2 + 2376116^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12211011312020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72801692 + ... + 72969228.

It is an arithmetic number, because the mean of its divisors is an integer number (377923257117).

Almost surely, 212211011312020 is an apocalyptic number.

12211011312020 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 12211011312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605237256212).

12211011312020 is an abundant number, since it is smaller than the sum of its proper divisors (14999463200404).

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

12211011312020 is a wasteful number, since it uses less digits than its factorization.

12211011312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168489 (or 168024 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12211011312020 its reverse (2021311011221), we get a palindrome (14232322323241).

The spelling of 12211011312020 in words is "twelve trillion, two hundred eleven billion, eleven million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 463 926 1852 2315 4630 7871 9260 15742 31484 39355 78710 157420 167537 214369 335074 428738 670148 837685 857476 1071845 1675370 2143690 2848129 3350740 3644273 4287380 5696258 7288546 11392516 14240645 14577092 18221365 28481290 36442730 56962580 72885460 77569631 155139262 310278524 387848155 775696310 1318683727 1551392620 2637367454 5274734908 6593418635 13186837270 26373674540 35914739153 71829478306 143658956612 179573695765 359147391530 610550565601 718294783060 1221101131202 2442202262404 3052752828005 6105505656010 12211011312020