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22002112120120 = 235112337919872887
BaseRepresentation
bin1010000000010110001000…
…00100111100010100111000
32212220101022000122011201221
411000023010010330110320
510340440311200320440
6114443344125121424
74430412564163366
oct500130404742470
985811260564657
1022002112120120
117013052774a40
1225741a69b9274
13c37a372ba812
14560c9d430636
152824d34c1d4a
hex1402c413c538

22002112120120 has 256 divisors, whose sum is σ = 56549941862400. Its totient is φ = 7626232373760.

The previous prime is 22002112120103. The next prime is 22002112120127. The reversal of 22002112120120 is 2102121120022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22002112120094 and 22002112120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002112120127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7621097317 + ... + 7621100203.

It is an arithmetic number, because the mean of its divisors is an integer number (220898210400).

Almost surely, 222002112120120 is an apocalyptic number.

22002112120120 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 22002112120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274970931200).

22002112120120 is an abundant number, since it is smaller than the sum of its proper divisors (34547829742280).

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

22002112120120 is a wasteful number, since it uses less digits than its factorization.

22002112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5294 counting only the distinct ones).

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

Adding to 22002112120120 its reverse (2102121120022), we get a palindrome (24104233240142).

The spelling of 22002112120120 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".