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12112211100000 = 253551173137367
BaseRepresentation
bin1011000001000001100000…
…0010100100000101100000
31120212220201211001121011010
42300100120002210011200
53041421302020200000
641432134543220520
72360035611432444
oct260203002440540
946786654047133
1012112211100000
11394a83a446090
121437516ba7740
1369b23b00658b
142dc33c6cc824
151600ee1c8d50
hexb04180a4160

12112211100000 has 1152 divisors, whose sum is σ = 44388722939904. Its totient is φ = 2867097600000.

The previous prime is 12112211099987. The next prime is 12112211100013. The reversal of 12112211100000 is 111221121.

It is an interprime number because it is at equal distance from previous prime (12112211099987) and next prime (12112211100013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33003299817 + ... + 33003300183.

It is an arithmetic number, because the mean of its divisors is an integer number (38531877552).

Almost surely, 212112211100000 is an apocalyptic number.

12112211100000 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 12112211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194361469952).

12112211100000 is an abundant number, since it is smaller than the sum of its proper divisors (32276511839904).

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

12112211100000 is a wasteful number, since it uses less digits than its factorization.

12112211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 598 counting only the distinct ones).

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

Adding to 12112211100000 its reverse (111221121), we get a palindrome (12112322321121).

The spelling of 12112211100000 in words is "twelve trillion, one hundred twelve billion, two hundred eleven million, one hundred thousand".