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22002202120000 = 26544759293677
BaseRepresentation
bin1010000000010110010010…
…11100010000111101000000
32212220101112021222122100211
411000023021130100331000
510340441002220320000
6114443401102123504
74430415036155614
oct500131134207500
985811467878324
1022002202120000
117013099556203
122574210b80594
13c37a4cb3c69b
14560cab37b344
152824db34d7ba
hex1402c9710f40

22002202120000 has 560 divisors, whose sum is σ = 56940892081920. Its totient is φ = 8426269696000.

The previous prime is 22002202119991. The next prime is 22002202120009. The reversal of 22002202120000 is 2120220022.

It is an interprime number because it is at equal distance from previous prime (22002202119991) and next prime (22002202120009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002202120009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32499559662 + ... + 32499560338.

It is an arithmetic number, because the mean of its divisors is an integer number (101680164432).

Almost surely, 222002202120000 is an apocalyptic number.

22002202120000 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 22002202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28470446040960).

22002202120000 is an abundant number, since it is smaller than the sum of its proper divisors (34938689961920).

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

22002202120000 is an equidigital number, since it uses as much as digits as its factorization.

22002202120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22002202120000 its reverse (2120220022), we get a palindrome (22004322340022).

The spelling of 22002202120000 in words is "twenty-two trillion, two billion, two hundred two million, one hundred twenty thousand".