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22202121012120 = 23325717618496013
BaseRepresentation
bin1010000110001010101011…
…00010010100001110011000
32220121111112222122121202200
411003011111202110032120
510402224420434341440
6115115302533530200
74451023153543530
oct503052542241630
986544488577680
1022202121012120
11708a9595598a5
1225a6b054a3960
13c5086040111a
1456a8347884c0
152877dc600c30
hex143155894398

22202121012120 has 384 divisors, whose sum is σ = 88747323200640. Its totient is φ = 4697954795520.

The previous prime is 22202121012089. The next prime is 22202121012121. The reversal of 22202121012120 is 2121012120222.

It is a happy number.

22202121012120 is a `hidden beast` number, since 2 + 220 + 21 + 210 + 1 + 212 + 0 = 666.

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 = 22202121012093 and 22202121012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202121012121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1634767 + ... + 6861246.

It is an arithmetic number, because the mean of its divisors is an integer number (231112820835).

Almost surely, 222202121012120 is an apocalyptic number.

22202121012120 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 22202121012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44373661600320).

22202121012120 is an abundant number, since it is smaller than the sum of its proper divisors (66545202188520).

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

22202121012120 is a wasteful number, since it uses less digits than its factorization.

22202121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8496115 (or 8496108 counting only the distinct ones).

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

Adding to 22202121012120 its reverse (2121012120222), we get a palindrome (24323133132342).

The spelling of 22202121012120 in words is "twenty-two trillion, two hundred two billion, one hundred twenty-one million, twelve thousand, one hundred twenty".