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12202122001212 = 2232111329531542137
BaseRepresentation
bin1011000110010000011100…
…1001011011101100111100
31121012111210212021121201100
42301210013021123230330
53044404421213014322
641541324422013100
72366400646455663
oct261440711335474
947174725247640
1012202122001212
113984988840a10
121450a29b77190
136a6869530b80
1430282b835dda
15162612805dac
hexb190725bb3c

12202122001212 has 288 divisors, whose sum is σ = 38193453305280. Its totient is φ = 3233304023040.

The previous prime is 12202122001117. The next prime is 12202122001231. The reversal of 12202122001212 is 21210022120221.

It is a happy number.

12202122001212 is a `hidden beast` number, since 1 + 220 + 212 + 20 + 0 + 1 + 212 = 666.

12202122001212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7141408 + ... + 8683544.

It is an arithmetic number, because the mean of its divisors is an integer number (132616157310).

Almost surely, 212202122001212 is an apocalyptic number.

12202122001212 is a gapful number since it is divisible by the number (12) 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 12202122001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096726652640).

12202122001212 is an abundant number, since it is smaller than the sum of its proper divisors (25991331304068).

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

12202122001212 is a wasteful number, since it uses less digits than its factorization.

12202122001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542253 (or 1542248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202122001212 its reverse (21210022120221), we get a palindrome (33412144121433).

The spelling of 12202122001212 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, one thousand, two hundred twelve".