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12211211220 = 223513412711409
BaseRepresentation
bin10110101111101100…
…00100101111010100
31011112000112210200020
423113312010233110
5200002032224340
65335412345140
7611414403615
oct132766045724
934460483606
1012211211220
1151a6a017aa
1224496151b0
1311c7b45a90
1483babbc0c
154b70919d0
hex2d7d84bd4

12211211220 has 192 divisors, whose sum is σ = 37885639680. Its totient is φ = 2919628800.

The previous prime is 12211211219. The next prime is 12211211263. The reversal of 12211211220 is 2211211221.

It is a super-2 number, since 2×122112112202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211211220.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8665876 + ... + 8667284.

It is an arithmetic number, because the mean of its divisors is an integer number (197321040).

Almost surely, 212211211220 is an apocalyptic number.

12211211220 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 12211211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942819840).

12211211220 is an abundant number, since it is smaller than the sum of its proper divisors (25674428460).

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

12211211220 is a wasteful number, since it uses less digits than its factorization.

12211211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211211220 its reverse (2211211221), we get a palindrome (14422422441).

Subtracting from 12211211220 its reverse (2211211221), we obtain a palindrome (9999999999).

The spelling of 12211211220 in words is "twelve billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty".