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22202010121120 = 25517191231348989
BaseRepresentation
bin1010000110001010011101…
…11011010011001110100000
32220121111021020222202220121
411003011032323103032200
510402224204042333440
6115115243533050024
74451020336151254
oct503051673231640
986544236882817
1022202010121120
11708a9019a9845
1225a6a94326914
13c5084344634b
1456a823b60264
152877d29e934a
hex14314eed33a0

22202010121120 has 192 divisors, whose sum is σ = 58508368934400. Its totient is φ = 7912032583680.

The previous prime is 22202010121117. The next prime is 22202010121133. The reversal of 22202010121120 is 2112101020222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22202010121094 and 22202010121103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63443586 + ... + 63792574.

It is an arithmetic number, because the mean of its divisors is an integer number (304731088200).

Almost surely, 222202010121120 is an apocalyptic number.

22202010121120 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 22202010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29254184467200).

22202010121120 is an abundant number, since it is smaller than the sum of its proper divisors (36306358813280).

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

22202010121120 is a wasteful number, since it uses less digits than its factorization.

22202010121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350271 (or 350263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22202010121120 its reverse (2112101020222), we get a palindrome (24314111141342).

The spelling of 22202010121120 in words is "twenty-two trillion, two hundred two billion, ten million, one hundred twenty-one thousand, one hundred twenty".