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12210011121220 = 22511210149955041
BaseRepresentation
bin1011000110101101110101…
…1000000010011001000100
31121020021011200001102212021
42301223131120002121010
53100022100321334340
641545111321132524
72400100313050603
oct261533530023104
947207150042767
1012210011121220
113988266a66600
12145247002a144
136a7525ac1213
14302d794b9a3a
151629251ece4a
hexb1add602644

12210011121220 has 72 divisors (see below), whose sum is σ = 28462984190424. Its totient is φ = 4396043520000.

The previous prime is 12210011121169. The next prime is 12210011121239. The reversal of 12210011121220 is 2212111001221.

It can be written as a sum of positive squares in 4 ways, for example, as 2665519900164 + 9544491221056 = 1632642^2 + 3089416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12210011121194 and 12210011121203.

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 23 ways as a sum of consecutive naturals, for example, 24733101 + ... + 25221940.

It is an arithmetic number, because the mean of its divisors is an integer number (395319224867).

Almost surely, 212210011121220 is an apocalyptic number.

12210011121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210011121220 is an abundant number, since it is smaller than the sum of its proper divisors (16252973069204).

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

12210011121220 is a wasteful number, since it uses less digits than its factorization.

12210011121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49955173 (or 49955160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210011121220 its reverse (2212111001221), we get a palindrome (14422122122441).

The spelling of 12210011121220 in words is "twelve trillion, two hundred ten billion, eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 49955041 99910082 199820164 249775205 499550410 549505451 999100820 1099010902 2198021804 2747527255 5045459141 5495054510 6044559961 10090918282 10990109020 12089119922 20181836564 24178239844 25227295705 30222799805 50454591410 55500050551 60445599610 100909182820 111000101102 120891199220 222000202204 277500252755 555000505510 610500556061 1110001011020 1221001112122 2442002224244 3052502780305 6105005560610 12210011121220