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12002222119977 = 3217372120159357
BaseRepresentation
bin1010111010100111110000…
…1011111001110000101001
31120111101211111101111100100
42232221330023321300221
53033121022330314402
641305424505500013
72346063152510265
oct256517413716051
946441744344310
1012002222119977
1139081285424a1
12141a13baa1609
13690a5cb9758b
142d6ca6b770a5
1515c31305b71c
hexaea7c2f9c29

12002222119977 has 24 divisors (see below), whose sum is σ = 18852457011336. Its totient is φ = 7327270734336.

The previous prime is 12002222119879. The next prime is 12002222120003. The reversal of 12002222119977 is 77991122220021.

12002222119977 is a `hidden beast` number, since 1 + 200 + 222 + 211 + 9 + 9 + 7 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7678197153936 + 4324024966041 = 2770956^2 + 2079429^2 .

It is not a de Polignac number, because 12002222119977 - 214 = 12002222103593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12002222119577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060074018 + ... + 1060085339.

It is an arithmetic number, because the mean of its divisors is an integer number (785519042139).

Almost surely, 212002222119977 is an apocalyptic number.

12002222119977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12002222119977 is a deficient number, since it is larger than the sum of its proper divisors (6850234891359).

12002222119977 is a wasteful number, since it uses less digits than its factorization.

12002222119977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120159417 (or 2120159414 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

Adding to 12002222119977 its reverse (77991122220021), we get a palindrome (89993344339998).

The spelling of 12002222119977 in words is "twelve trillion, two billion, two hundred twenty-two million, one hundred nineteen thousand, nine hundred seventy-seven".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 2120159357 6360478071 19081434213 36042709069 78445896209 108128127207 235337688627 324384381621 706013065881 1333580235553 4000740706659 12002222119977