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12211210101312 = 2632271673116239
BaseRepresentation
bin1011000110110010010011…
…0101110010001001000000
31121020101021020010221100100
42301230210311302021000
53100032024241220222
641545430311322400
72400142112160435
oct261544465621100
947211236127310
1012211210101312
113988821836042
121452745680400
136a76873193b1
14303050821b8c
151629955d64ac
hexb1b24d72240

12211210101312 has 168 divisors, whose sum is σ = 35182887134720. Its totient is φ = 4049322762240.

The previous prime is 12211210101301. The next prime is 12211210101347. The reversal of 12211210101312 is 21310101211221.

It is a happy number.

12211210101312 is a `hidden beast` number, since 1 + 221 + 121 + 0 + 10 + 1 + 312 = 666.

It is a super-2 number, since 2×122112101013122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104994489 + ... + 105110727.

Almost surely, 212211210101312 is an apocalyptic number.

12211210101312 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 12211210101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591443567360).

12211210101312 is an abundant number, since it is smaller than the sum of its proper divisors (22971677033408).

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

12211210101312 is a wasteful number, since it uses less digits than its factorization.

12211210101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117201 (or 117188 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211210101312 its reverse (21310101211221), we get a palindrome (33521311312533).

The spelling of 12211210101312 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, three hundred twelve".