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12210021001220 = 22575323914814649
BaseRepresentation
bin1011000110101101110111…
…1101101110100000000100
31121020021012100122101200012
42301223131331232200010
53100022110334014340
641545112313005352
72400100463040350
oct261533575564004
947207170571605
1012210021001220
1139882715a4599
1214524733b3858
136a7527b70283
14302d7a92c460
15162926000565
hexb1addf6e804

12210021001220 has 192 divisors, whose sum is σ = 30008579328000. Its totient is φ = 4086479953920.

The previous prime is 12210021001181. The next prime is 12210021001223. The reversal of 12210021001220 is 2210012001221.

It is a super-2 number, since 2×122100210012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12210021001195 and 12210021001204.

It is not an unprimeable number, because it can be changed into a prime (12210021001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2626373456 + ... + 2626378104.

It is an arithmetic number, because the mean of its divisors is an integer number (156294684000).

Almost surely, 212210021001220 is an apocalyptic number.

12210021001220 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 12210021001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004289664000).

12210021001220 is an abundant number, since it is smaller than the sum of its proper divisors (17798558326780).

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

12210021001220 is a wasteful number, since it uses less digits than its factorization.

12210021001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210021001220 its reverse (2210012001221), we get a palindrome (14420033002441).

It can be divided in two parts, 1221002 and 1001220, that added together give a palindrome (2222222).

The spelling of 12210021001220 in words is "twelve trillion, two hundred ten billion, twenty-one million, one thousand, two hundred twenty".