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12211211012220 = 223251137473546451
BaseRepresentation
bin1011000110110010010011…
…1001010000100001111100
31121020101021021212012212200
42301230210321100201330
53100032030004342340
641545430343031500
72400142123003233
oct261544471204174
947211237765780
1012211211012220
1139888222a8460
121452745a3b590
136a7687577bac
143030509bbb1a
15162995716330
hexb1b24e5087c

12211211012220 has 288 divisors, whose sum is σ = 42383108791296. Its totient is φ = 2819002176000.

The previous prime is 12211211012201. The next prime is 12211211012233. The reversal of 12211211012220 is 2221011211221.

12211211012220 is a `hidden beast` number, since 1 + 221 + 1 + 211 + 0 + 12 + 220 = 666.

It is a super-2 number, since 2×122112110122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211211012193 and 12211211012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1669995 + ... + 5216445.

It is an arithmetic number, because the mean of its divisors is an integer number (147163572192).

Almost surely, 212211211012220 is an apocalyptic number.

12211211012220 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 12211211012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191554395648).

12211211012220 is an abundant number, since it is smaller than the sum of its proper divisors (30171897779076).

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

12211211012220 is a wasteful number, since it uses less digits than its factorization.

12211211012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546561 (or 3546556 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211211012220 its reverse (2221011211221), we get a palindrome (14432222223441).

The spelling of 12211211012220 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, twelve thousand, two hundred twenty".