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22120020221200 = 245211101317157019
BaseRepresentation
bin1010000011110001101111…
…11100101001110100010000
32220022122122020112022101121
411001320313330221310100
510344403300134034300
6115013444053012024
74442055502412206
oct501706774516420
986278566468347
1022120020221200
117059058824480
122593012024014
13c45ba7c92475
145668869d9076
152855d49b081a
hex141e37f29d10

22120020221200 has 240 divisors, whose sum is σ = 58733637503040. Its totient is φ = 7938830080000.

The previous prime is 22120020221179. The next prime is 22120020221203. The reversal of 22120020221200 is 212202002122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22120020221203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140796291 + ... + 140953309.

It is an arithmetic number, because the mean of its divisors is an integer number (244723489596).

Almost surely, 222120020221200 is an apocalyptic number.

22120020221200 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 22120020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29366818751520).

22120020221200 is an abundant number, since it is smaller than the sum of its proper divisors (36613617281840).

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

22120020221200 is a wasteful number, since it uses less digits than its factorization.

22120020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157466 (or 157455 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22120020221200 its reverse (212202002122), we get a palindrome (22332222223322).

The spelling of 22120020221200 in words is "twenty-two trillion, one hundred twenty billion, twenty million, two hundred twenty-one thousand, two hundred".