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22120212000000 = 2835610118251
BaseRepresentation
bin1010000011110010000110…
…11000001110110100000000
32220022200010121101200110010
411001321003120032310000
510344404143233000000
6115013515103304520
74442063321456112
oct501710330166400
986280117350403
1022120212000000
117059147001754
1225930662ab140
13c45c0892b74a
145668a427b3b2
152855e6743d50
hex141e4360ed00

22120212000000 has 504 divisors, whose sum is σ = 74321763044256. Its totient is φ = 5840000000000.

The previous prime is 22120211999999. The next prime is 22120212000031. The reversal of 22120212000000 is 21202122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22120212000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1211990875 + ... + 1212009125.

It is an arithmetic number, because the mean of its divisors is an integer number (147463815564).

Almost surely, 222120212000000 is an apocalyptic number.

22120212000000 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 22120212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37160881522128).

22120212000000 is an abundant number, since it is smaller than the sum of its proper divisors (52201551044256).

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

22120212000000 is an frugal number, since it uses more digits than its factorization.

22120212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18401 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22120212000000 its reverse (21202122), we get a palindrome (22120233202122).

The spelling of 22120212000000 in words is "twenty-two trillion, one hundred twenty billion, two hundred twelve million", and thus it is an aban number.