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12000011100210 = 232571937197137537
BaseRepresentation
bin1010111010011111100001…
…1001100010000000110010
31120111012010101222001102100
42232213320121202000302
53033102010320201320
641304421244001230
72345654314243440
oct256477031420062
946435111861370
1012000011100210
1139071a3476631
121419823530216
13690799aa8163
142d6b3726bb90
1515c233db4790
hexae9f8662032

12000011100210 has 384 divisors, whose sum is σ = 38744256545280. Its totient is φ = 2515416809472.

The previous prime is 12000011100199. The next prime is 12000011100239. The reversal of 12000011100210 is 1200111000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000011100192 and 12000011100201.

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, 87180562 + ... + 87318098.

It is an arithmetic number, because the mean of its divisors is an integer number (100896501420).

Almost surely, 212000011100210 is an apocalyptic number.

12000011100210 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 12000011100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372128272640).

12000011100210 is an abundant number, since it is smaller than the sum of its proper divisors (26744245445070).

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

12000011100210 is a wasteful number, since it uses less digits than its factorization.

12000011100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137810 (or 137807 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000011100210 its reverse (1200111000021), we get a palindrome (13200122100231).

The spelling of 12000011100210 in words is "twelve trillion, eleven million, one hundred thousand, two hundred ten".