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12220213121100 = 223252371180731081
BaseRepresentation
bin1011000111010011110101…
…1101100101000001001100
31121021020111122220201201200
42301310331131211001030
53100203444024333400
641553515521305500
72400611162446515
oct261647535450114
947236448821650
1012220213121100
1139916217aa066
121454438795290
136a84905b603a
143036663c1a0c
15162d20bacb00
hexb1d3d76504c

12220213121100 has 216 divisors, whose sum is σ = 39343408610688. Its totient is φ = 3170279347200.

The previous prime is 12220213121033. The next prime is 12220213121161. The reversal of 12220213121100 is 112131202221.

12220213121100 is a `hidden beast` number, since 1 + 2 + 220 + 21 + 312 + 110 + 0 = 666.

12220213121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393157560 + ... + 393188640.

Almost surely, 212220213121100 is an apocalyptic number.

12220213121100 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 12220213121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671704305344).

12220213121100 is an abundant number, since it is smaller than the sum of its proper divisors (27123195489588).

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

12220213121100 is a wasteful number, since it uses less digits than its factorization.

12220213121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42945 (or 42935 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12220213121100 its reverse (112131202221), we get a palindrome (12332344323321).

The spelling of 12220213121100 in words is "twelve trillion, two hundred twenty billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred".