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22120020210000 = 243541946378369
BaseRepresentation
bin1010000011110001101111…
…11100100111000101010000
32220022122122020111202000210
411001320313330213011100
510344403300133210000
6115013444052444120
74442055502334436
oct501706774470520
986278566452023
1022120020210000
117059058817019
122593012019640
13c45ba7c8a33b
145668869d4d56
152855d49ac350
hex141e37f27150

22120020210000 has 400 divisors, whose sum is σ = 75189797812800. Its totient is φ = 5586342912000.

The previous prime is 22120020209957. The next prime is 22120020210037. The reversal of 22120020210000 is 1202002122.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2643085816 + ... + 2643094184.

It is an arithmetic number, because the mean of its divisors is an integer number (187974494532).

Almost surely, 222120020210000 is an apocalyptic number.

22120020210000 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 22120020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37594898906400).

22120020210000 is an abundant number, since it is smaller than the sum of its proper divisors (53069777602800).

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

22120020210000 is a wasteful number, since it uses less digits than its factorization.

22120020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13056 (or 13035 counting only the distinct ones).

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

Adding to 22120020210000 its reverse (1202002122), we get a palindrome (22121222212122).

The spelling of 22120020210000 in words is "twenty-two trillion, one hundred twenty billion, twenty million, two hundred ten thousand".