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12211220320011 = 3229255411831811
BaseRepresentation
bin1011000110110010010101…
…1100110000111100001011
31121020101021221101002202200
42301230211130300330023
53100032034400220021
641545431314331243
72400142265060526
oct261544534607413
947211257332680
1012211220320011
113988827585549
121452748b89b23
136a768948666b
14303051d21bbd
15162996454126
hexb1b25730f0b

12211220320011 has 24 divisors (see below), whose sum is σ = 18247375420560. Its totient is φ = 7859783803200.

The previous prime is 12211220320003. The next prime is 12211220320097. The reversal of 12211220320011 is 11002302211221.

12211220320011 is a `hidden beast` number, since 1 + 221 + 122 + 0 + 320 + 0 + 1 + 1 = 666.

12211220320011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211220320011 - 23 = 12211220320003 is a prime.

It is a super-2 number, since 2×122112203200112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211220325011) 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, 5750296 + ... + 7582106.

It is an arithmetic number, because the mean of its divisors is an integer number (760307309190).

Almost surely, 212211220320011 is an apocalyptic number.

12211220320011 is a deficient number, since it is larger than the sum of its proper divisors (6036155100549).

12211220320011 is a wasteful number, since it uses less digits than its factorization.

12211220320011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857387 (or 1857384 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12211220320011 its reverse (11002302211221), we get a palindrome (23213522531232).

The spelling of 12211220320011 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, three hundred twenty thousand, eleven".

Divisors: 1 3 9 29 87 261 25541 76623 229869 740689 1831811 2222067 5495433 6666201 16486299 53122519 159367557 478102671 46786284751 140358854253 421076562759 1356802257779 4070406773337 12211220320011