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12211002224020 = 22519891844319577
BaseRepresentation
bin1011000110110001100001…
…1100110010110110010100
31121020100201201222200022101
42301230120130302312110
53100031113032132040
641545353524011444
72400134006224255
oct261543034626624
947210651880271
1012211002224020
113988725462826
1214526a7b30b84
136a7653234792
14303030d8cb2c
1516298222309a
hexb1b18732d94

12211002224020 has 96 divisors (see below), whose sum is σ = 27298905379200. Its totient is φ = 4574852941824.

The previous prime is 12211002223999. The next prime is 12211002224107. The reversal of 12211002224020 is 2042220011221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623732472 + ... + 623752048.

It is an arithmetic number, because the mean of its divisors is an integer number (284363597700).

Almost surely, 212211002224020 is an apocalyptic number.

12211002224020 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 12211002224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649452689600).

12211002224020 is an abundant number, since it is smaller than the sum of its proper divisors (15087903155180).

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

12211002224020 is a wasteful number, since it uses less digits than its factorization.

12211002224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38137 (or 38135 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12211002224020 its reverse (2042220011221), we get a palindrome (14253222235241).

The spelling of 12211002224020 in words is "twelve trillion, two hundred eleven billion, two million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1691 1780 3382 6764 8455 16910 18443 19577 33820 36886 39154 73772 78308 92215 97885 184430 195770 350417 368860 371963 391540 700834 743926 1401668 1487852 1641427 1742353 1752085 1859815 3282854 3484706 3504170 3719630 6565708 6969412 7008340 7439260 8207135 8711765 16414270 17423530 31187113 32828540 33104707 34847060 62374226 66209414 124748452 132418828 155935565 165523535 311871130 331047070 361058611 623742260 662094140 722117222 1444234444 1805293055 3610586110 6860113609 7221172220 13720227218 27440454436 32134216379 34300568045 64268432758 68601136090 128536865516 137202272180 160671081895 321342163790 610550111201 642684327580 1221100222402 2442200444804 3052750556005 6105501112010 12211002224020