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12022214034120 = 233547671012691171
BaseRepresentation
bin1010111011110010001111…
…0011000000001011001000
31120120022102202200221212220
42232330203303000023020
53033432443243042440
641322532345534040
72350401446126253
oct256744363001310
946508382627786
1012022214034120
113915657449494
121421b9b1a4320
136928c79a0984
142d7c41d5609a
1515cad322b8d0
hexaef23cc02c8

12022214034120 has 512 divisors, whose sum is σ = 37926625075200. Its totient is φ = 3046298112000.

The previous prime is 12022214034101. The next prime is 12022214034143. The reversal of 12022214034120 is 2143041222021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10266621135 + ... + 10266622305.

It is an arithmetic number, because the mean of its divisors is an integer number (74075439600).

Almost surely, 212022214034120 is an apocalyptic number.

12022214034120 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 12022214034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963312537600).

12022214034120 is an abundant number, since it is smaller than the sum of its proper divisors (25904411041080).

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

12022214034120 is a wasteful number, since it uses less digits than its factorization.

12022214034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12022214034120 its reverse (2143041222021), we get a palindrome (14165255256141).

The spelling of 12022214034120 in words is "twelve trillion, twenty-two billion, two hundred fourteen million, thirty-four thousand, one hundred twenty".