Search a number
-
+
212111121000012 = 223131359686673077
BaseRepresentation
bin110000001110100111111000…
…000001010010011001001100
31000211000121212201110211122220
4300032213320001102121030
5210300212033434000022
62031042300452135340
762451344212256223
oct6016477001223114
91024017781424586
10212111121000012
1161648904096153
121b958681307550
139147cba49c980
143a5433962dcba
15197c76c6da85c
hexc0e9f805264c

212111121000012 has 24 divisors (see below), whose sum is σ = 532997175846576. Its totient is φ = 65264960307648.

The previous prime is 212111121000007. The next prime is 212111121000059. The reversal of 212111121000012 is 210000121111212.

It is a happy number.

It is a super-6 number, since 6×2121111210000126 (a number of 87 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212111120999955 and 212111121000000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679843336383 + ... + 679843336694.

It is an arithmetic number, because the mean of its divisors is an integer number (22208215660274).

Almost surely, 2212111121000012 is an apocalyptic number.

It is an amenable number.

212111121000012 is an abundant number, since it is smaller than the sum of its proper divisors (320886054846564).

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

212111121000012 is a wasteful number, since it uses less digits than its factorization.

212111121000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359686673097 (or 1359686673095 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212111121000012 its reverse (210000121111212), we get a palindrome (422111242111224).

The spelling of 212111121000012 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1359686673077 2719373346154 4079060019231 5438746692308 8158120038462 16316240076924 17675926750001 35351853500002 53027780250003 70703707000004 106055560500006 212111121000012