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12111013232200 = 23523147179232187
BaseRepresentation
bin1011000000111101000010…
…1001000011111001001000
31120212210122100001121110001
42300033100221003321020
53041411323341412300
641431420032532344
72356664124634501
oct260172051037110
946783570047401
1012111013232200
11394a2852662a3
1214372419b10b4
1369b0a9aaa76c
142dc267595ba8
1516007de6016a
hexb03d0a43e48

12111013232200 has 192 divisors, whose sum is σ = 29850832281600. Its totient is φ = 4562733523200.

The previous prime is 12111013232189. The next prime is 12111013232209. The reversal of 12111013232200 is 223231011121.

It is a super-2 number, since 2×121110132322002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12111013232209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52044507 + ... + 52276693.

It is an arithmetic number, because the mean of its divisors is an integer number (155473084800).

Almost surely, 212111013232200 is an apocalyptic number.

12111013232200 is a gapful number since it is divisible by the number (10) 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 12111013232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925416140800).

12111013232200 is an abundant number, since it is smaller than the sum of its proper divisors (17739819049400).

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

12111013232200 is a wasteful number, since it uses less digits than its factorization.

12111013232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232460 (or 232451 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12111013232200 its reverse (223231011121), we get a palindrome (12334244243321).

The spelling of 12111013232200 in words is "twelve trillion, one hundred eleven billion, thirteen million, two hundred thirty-two thousand, two hundred".