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12022100001120 = 25351122917415711
BaseRepresentation
bin1010111011110001110100…
…0000000000000101100000
31120120022010211010111000110
42232330131000000011200
53033432230100013440
641322513153451320
72350365562636446
oct256743500000540
946508124114013
1012022100001120
1139155a9042840
121421b68b70b40
136928aa185a21
142d7c30b50b96
1515cac8204080
hexaef1d000160

12022100001120 has 384 divisors, whose sum is σ = 41523812628480. Its totient is φ = 2899547136000.

The previous prime is 12022100001101. The next prime is 12022100001211. The reversal of 12022100001120 is 2110000122021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12022100001096 and 12022100001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105075065 + ... + 2105080775.

It is an arithmetic number, because the mean of its divisors is an integer number (108134928720).

Almost surely, 212022100001120 is an apocalyptic number.

12022100001120 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 12022100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20761906314240).

12022100001120 is an abundant number, since it is smaller than the sum of its proper divisors (29501712627360).

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

12022100001120 is a wasteful number, since it uses less digits than its factorization.

12022100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022100001120 its reverse (2110000122021), we get a palindrome (14132100123141).

The spelling of 12022100001120 in words is "twelve trillion, twenty-two billion, one hundred million, one thousand, one hundred twenty".