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12211211222100 = 22345211137050631
BaseRepresentation
bin1011000110110010010011…
…1010000011110001010100
31121020101021022020212210000
42301230210322003301110
53100032030033101400
641545430351331300
72400142124536152
oct261544472036124
947211238225700
1012211211222100
113988822431110
121452745b20b30
136a768761c597
14303050a343d2
15162995758600
hexb1b24e83c54

12211211222100 has 180 divisors, whose sum is σ = 43182461333088. Its totient is φ = 2960293608000.

The previous prime is 12211211222087. The next prime is 12211211222149. The reversal of 12211211222100 is 122211211221.

12211211222100 is a `hidden beast` number, since 1 + 221 + 1 + 211 + 22 + 210 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×122112112221002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68436216 + ... + 68614415.

Almost surely, 212211211222100 is an apocalyptic number.

12211211222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211211222100 is an abundant number, since it is smaller than the sum of its proper divisors (30971250110988).

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

12211211222100 is a wasteful number, since it uses less digits than its factorization.

12211211222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137050668 (or 137050652 counting only the distinct ones).

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

Adding to 12211211222100 its reverse (122211211221), we get a palindrome (12333422433321).

The spelling of 12211211222100 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".