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12211101201120 = 2535791811779131
BaseRepresentation
bin1011000110110001111001…
…0110010111001011100000
31121020100222122020020100220
42301230132112113023200
53100031313401413440
641545411421243040
72400136320426243
oct261543626271340
947210878206326
1012211101201120
113988776315788
121452715103480
136a766a8aa803
1430304019525a
1516298ac748d0
hexb1b1e5972e0

12211101201120 has 192 divisors, whose sum is σ = 39167092823040. Its totient is φ = 3197310105600.

The previous prime is 12211101201107. The next prime is 12211101201217. The reversal of 12211101201120 is 2110210111221.

It is a happy number.

12211101201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122111012011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211101201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5973955 + ... + 7753085.

It is an arithmetic number, because the mean of its divisors is an integer number (203995275120).

Almost surely, 212211101201120 is an apocalyptic number.

12211101201120 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 12211101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583546411520).

12211101201120 is an abundant number, since it is smaller than the sum of its proper divisors (26955991621920).

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

12211101201120 is a wasteful number, since it uses less digits than its factorization.

12211101201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779409 (or 1779401 counting only the distinct ones).

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

Adding to 12211101201120 its reverse (2110210111221), we get a palindrome (14321311312341).

The spelling of 12211101201120 in words is "twelve trillion, two hundred eleven billion, one hundred one million, two hundred one thousand, one hundred twenty".