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12202201002112 = 27111722310332213
BaseRepresentation
bin1011000110010000101111…
…0110110011000010000000
31121012112000100221021120121
42301210023312303002000
53044410101424031422
641541340323150024
72366402626121212
oct261441366630200
947175010837517
1012202201002112
113984a1939a510
121450a50515314
136a687ca01574
1430283811c5b2
1516261970d8c7
hexb190bdb3080

12202201002112 has 256 divisors, whose sum is σ = 28244904145920. Its totient is φ = 5189407211520.

The previous prime is 12202201002109. The next prime is 12202201002161. The reversal of 12202201002112 is 21120010220221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 5513871918 + ... + 5513874130.

It is an arithmetic number, because the mean of its divisors is an integer number (110331656820).

Almost surely, 212202201002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202201002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14122452072960).

12202201002112 is an abundant number, since it is smaller than the sum of its proper divisors (16042703143808).

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

12202201002112 is a wasteful number, since it uses less digits than its factorization.

12202201002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12202201002112 its reverse (21120010220221), we get a palindrome (33322211222333).

The spelling of 12202201002112 in words is "twelve trillion, two hundred two billion, two hundred one million, two thousand, one hundred twelve".