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12221012020 = 22571717332963
BaseRepresentation
bin10110110000110110…
…11101100000110100
31011112200222201211211
423120123131200310
5200012034341040
65340402411204
7611563613440
oct133033354064
934480881754
1012221012020
115201496238
122450960b04
1311c9b97a79
1483d10d820
154b7d7a8ea
hex2d86dd834

12221012020 has 96 divisors (see below), whose sum is σ = 31084155648. Its totient is φ = 3939981312.

The previous prime is 12221012017. The next prime is 12221012039. The reversal of 12221012020 is 2021012221.

It is a happy number.

12221012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 4123059 + ... + 4126021.

It is an arithmetic number, because the mean of its divisors is an integer number (323793288).

Almost surely, 212221012020 is an apocalyptic number.

12221012020 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 12221012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542077824).

12221012020 is an abundant number, since it is smaller than the sum of its proper divisors (18863143628).

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

12221012020 is a wasteful number, since it uses less digits than its factorization.

12221012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12221012020 its reverse (2021012221), we get a palindrome (14242024241).

The spelling of 12221012020 in words is "twelve billion, two hundred twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1733 2380 2963 3466 5926 6932 8665 11852 12131 14815 17330 20741 24262 29461 29630 34660 41482 48524 50371 58922 59260 60655 82964 100742 103705 117844 121310 147305 201484 206227 207410 242620 251855 294610 352597 412454 414820 503710 589220 705194 824908 1007420 1031135 1410388 1762985 2062270 3525970 4124540 5134879 7051940 10269758 20539516 25674395 35944153 51348790 71888306 87292943 102697580 143776612 174585886 179720765 349171772 359441530 436464715 611050601 718883060 872929430 1222101202 1745858860 2444202404 3055253005 6110506010 12221012020