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12120011102001 = 3113111180942327
BaseRepresentation
bin1011000001011110100011…
…1101001101011100110001
31120220122212102010202101010
42300113220331031130301
53042033240320231001
641435504540301133
72360433113364165
oct260275075153461
946818772122333
1012120011102001
113953082332030
121438b332417a9
1369bbb1c9328a
142dc87c5b4ca5
15160408d6a8d6
hexb05e8f4d731

12120011102001 has 16 divisors (see below), whose sum is σ = 17685792304128. Its totient is φ = 7321842421200.

The previous prime is 12120011101999. The next prime is 12120011102041. The reversal of 12120011102001 is 10020111002121.

It is not a de Polignac number, because 12120011102001 - 21 = 12120011101999 is a prime.

It is a super-2 number, since 2×121200111020012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120011102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590460901 + ... + 590481426.

It is an arithmetic number, because the mean of its divisors is an integer number (1105362019008).

Almost surely, 212120011102001 is an apocalyptic number.

12120011102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120011102001 is a deficient number, since it is larger than the sum of its proper divisors (5565781202127).

12120011102001 is a wasteful number, since it uses less digits than its factorization.

12120011102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180942652.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12120011102001 its reverse (10020111002121), we get a palindrome (22140122104122).

The spelling of 12120011102001 in words is "twelve trillion, one hundred twenty billion, eleven million, one hundred two thousand, one".

Divisors: 1 3 11 33 311 933 3421 10263 1180942327 3542826981 12990365597 38971096791 367273063697 1101819191091 4040003700667 12120011102001