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22120212102120 = 233251114713797357
BaseRepresentation
bin1010000011110010000110…
…11000100111101111101000
32220022200010121120212112100
411001321003120213233220
510344404143244231440
6115013515105413400
74442063322362616
oct501710330475750
986280117525470
1022120212102120
117059147071450
12259306633a260
13c45c08966082
145668a42a66b6
152855e6764230
hex141e43627be8

22120212102120 has 192 divisors, whose sum is σ = 78479542103040. Its totient is φ = 5358828787200.

The previous prime is 22120212102103. The next prime is 22120212102143. The reversal of 22120212102120 is 2120121202122.

It is a happy number.

22120212102120 is a `hidden beast` number, since 221 + 2 + 0 + 21 + 210 + 212 + 0 = 666.

It is a super-2 number, since 2×221202121021202 (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 = 22120212102093 and 22120212102102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926482 + ... + 7723838.

It is an arithmetic number, because the mean of its divisors is an integer number (408747615120).

Almost surely, 222120212102120 is an apocalyptic number.

22120212102120 is a gapful number since it is divisible by the number (20) 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 22120212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39239771051520).

22120212102120 is an abundant number, since it is smaller than the sum of its proper divisors (56359330000920).

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

22120212102120 is a wasteful number, since it uses less digits than its factorization.

22120212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798856 (or 3798849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22120212102120 its reverse (2120121202122), we get a palindrome (24240333304242).

The spelling of 22120212102120 in words is "twenty-two trillion, one hundred twenty billion, two hundred twelve million, one hundred two thousand, one hundred twenty".