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12002122200000 = 26355235914741
BaseRepresentation
bin1010111010100111011000…
…1110101111001111000000
31120111101120112101000220110
42232221312032233033000
53033120321240400000
641305410540111320
72346060530300352
oct256516616571700
946441515330813
1012002122200000
1139080870a60a9
12141a112535540
13690a4528132a
142d6c977a70d2
1515c3093c0850
hexaea763af3c0

12002122200000 has 672 divisors, whose sum is σ = 42122568983040. Its totient is φ = 3009318400000.

The previous prime is 12002122199989. The next prime is 12002122200007. The reversal of 12002122200000 is 222120021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002122200007) 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, 814192630 + ... + 814207370.

It is an arithmetic number, because the mean of its divisors is an integer number (62682394320).

Almost surely, 212002122200000 is an apocalyptic number.

12002122200000 is a gapful number since it is divisible by the number (10) 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 12002122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061284491520).

12002122200000 is an abundant number, since it is smaller than the sum of its proper divisors (30120446783040).

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

12002122200000 is an equidigital number, since it uses as much as digits as its factorization.

12002122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14863 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002122200000 its reverse (222120021), we get a palindrome (12002344320021).

The spelling of 12002122200000 in words is "twelve trillion, two billion, one hundred twenty-two million, two hundred thousand".