Search a number
-
+
12011000111220 = 223511232157921787
BaseRepresentation
bin1010111011001000011101…
…1001010010000001110100
31120112020111020201122121010
42232302013121102001310
53033242012012024340
641313435520352220
72346523531300425
oct256620731220164
946466436648533
1012011000111220
113910922489210
12141b98b775670
1369182b655a36
142d749a8bb64c
1515c6789d2b80
hexaec87652074

12011000111220 has 288 divisors, whose sum is σ = 38378686993920. Its totient is φ = 2783267815680.

The previous prime is 12011000111207. The next prime is 12011000111233. The reversal of 12011000111220 is 2211100011021.

It is an interprime number because it is at equal distance from previous prime (12011000111207) and next prime (12011000111233).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12011000111196 and 12011000111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551281167 + ... + 551302953.

It is an arithmetic number, because the mean of its divisors is an integer number (133259329840).

Almost surely, 212011000111220 is an apocalyptic number.

12011000111220 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 12011000111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189343496960).

12011000111220 is an abundant number, since it is smaller than the sum of its proper divisors (26367686882700).

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

12011000111220 is a wasteful number, since it uses less digits than its factorization.

12011000111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23435 (or 23410 counting only the distinct ones).

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

Adding to 12011000111220 its reverse (2211100011021), we get a palindrome (14222100122241).

The spelling of 12011000111220 in words is "twelve trillion, eleven billion, one hundred eleven thousand, two hundred twenty".