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12011122212210 = 23551115116691783
BaseRepresentation
bin1010111011001000111010…
…1011000011110101110010
31120112020210202111000200000
42232302032223003311302
53033242234241242320
641313500001410430
72346526543162122
oct256621653036562
946466722430600
1012011122212210
1139109853a5520
12141ba04639a16
1369184aa37044
142d74acbc2c82
1515c6845a0c90
hexaec8eac3d72

12011122212210 has 384 divisors, whose sum is σ = 35604922429440. Its totient is φ = 2889149472000.

The previous prime is 12011122212197. The next prime is 12011122212247. The reversal of 12011122212210 is 1221222111021.

12011122212210 is a `hidden beast` number, since 120 + 1 + 1 + 122 + 212 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6736466979 + ... + 6736468761.

It is an arithmetic number, because the mean of its divisors is an integer number (92721152160).

Almost surely, 212011122212210 is an apocalyptic number.

12011122212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011122212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802461214720).

12011122212210 is an abundant number, since it is smaller than the sum of its proper divisors (23593800217230).

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

12011122212210 is a wasteful number, since it uses less digits than its factorization.

12011122212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011122212210 its reverse (1221222111021), we get a palindrome (13232344323231).

The spelling of 12011122212210 in words is "twelve trillion, eleven billion, one hundred twenty-two million, two hundred twelve thousand, two hundred ten".