Search a number
-
+
12022127918892 = 223671363737109
BaseRepresentation
bin1010111011110001111010…
…1010011111111100101100
31120120022012202122212000000
42232330132222133330230
53033432304221401032
641322520032104300
72350366352143410
oct256743652377454
946508182585000
1012022127918892
113915612880883
121421b76395090
136928b2bac010
142d7c3473ad40
1515caca8bae7c
hexaef1ea9ff2c

12022127918892 has 336 divisors, whose sum is σ = 38834514895680. Its totient is φ = 3169727645184.

The previous prime is 12022127918873. The next prime is 12022127918903. The reversal of 12022127918892 is 29881972122021.

It is a happy number.

12022127918892 is a `hidden beast` number, since 1 + 202 + 2 + 1 + 279 + 1 + 88 + 92 = 666.

It is a super-4 number, since 4×120221279188924 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1691110234 + ... + 1691117342.

It is an arithmetic number, because the mean of its divisors is an integer number (115578913380).

Almost surely, 212022127918892 is an apocalyptic number.

12022127918892 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 12022127918892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417257447840).

12022127918892 is an abundant number, since it is smaller than the sum of its proper divisors (26812386976788).

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

12022127918892 is a wasteful number, since it uses less digits than its factorization.

12022127918892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13524 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 12022127918892 in words is "twelve trillion, twenty-two billion, one hundred twenty-seven million, nine hundred eighteen thousand, eight hundred ninety-two".