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12022000420332 = 223719314310155949
BaseRepresentation
bin1010111011110001011100…
…0100001000010111101100
31120120021212212202020212010
42232330113010020113230
53033432024101422312
641322455235241220
72350363243341450
oct256742704102754
946507785666763
1012022000420332
113915557908271
121421b3b749210
1369289265ac96
142d7c2182c660
1515cabe5d393c
hexaef171085ec

12022000420332 has 384 divisors, whose sum is σ = 35998212096000. Its totient is φ = 3045361536000.

The previous prime is 12022000420319. The next prime is 12022000420333. The reversal of 12022000420332 is 23302400022021.

12022000420332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12022000420299 and 12022000420308.

It is not an unprimeable number, because it can be changed into a prime (12022000420333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214846294 + ... + 214902242.

It is an arithmetic number, because the mean of its divisors is an integer number (93745344000).

Almost surely, 212022000420332 is an apocalyptic number.

12022000420332 is a gapful number since it is divisible by the number (12) 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 12022000420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999106048000).

12022000420332 is an abundant number, since it is smaller than the sum of its proper divisors (23976211675668).

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

12022000420332 is a wasteful number, since it uses less digits than its factorization.

12022000420332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56157 (or 56155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12022000420332 its reverse (23302400022021), we get a palindrome (35324400442353).

The spelling of 12022000420332 in words is "twelve trillion, twenty-two billion, four hundred twenty thousand, three hundred thirty-two".