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12210101212120 = 235773597363073
BaseRepresentation
bin1011000110101110001010…
…1111101101001111011000
31121020021101221120112100021
42301223202233231033120
53100022241402241440
641545124300120224
72400102455602360
oct261534257551730
947207357515307
1012210101212120
1139883028aa199
121452496236074
136a753b675646
14302d8744b9a0
1516292d09684a
hexb1ae2bed3d8

12210101212120 has 64 divisors (see below), whose sum is σ = 31827504582720. Its totient is φ = 4128973553664.

The previous prime is 12210101212093. The next prime is 12210101212121. The reversal of 12210101212120 is 2121210101221.

It is a super-2 number, since 2×122101012121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210101212094 and 12210101212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210101212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298661097 + ... + 298701976.

It is an arithmetic number, because the mean of its divisors is an integer number (497304759105).

Almost surely, 212210101212120 is an apocalyptic number.

12210101212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210101212120 is an abundant number, since it is smaller than the sum of its proper divisors (19617403370600).

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

12210101212120 is a wasteful number, since it uses less digits than its factorization.

12210101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597363164 (or 597363160 counting only the distinct ones).

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

Adding to 12210101212120 its reverse (2121210101221), we get a palindrome (14331311313341).

The spelling of 12210101212120 in words is "twelve trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 10220 20440 597363073 1194726146 2389452292 2986815365 4181541511 4778904584 5973630730 8363083022 11947261460 16726166044 20907707555 23894522920 33452332088 41815415110 43607504329 83630830220 87215008658 167261660440 174430017316 218037521645 305252530303 348860034632 436075043290 610505060606 872150086580 1221010121212 1526262651515 1744300173160 2442020242424 3052525303030 6105050606060 12210101212120