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12202122010122 = 23211712779293373
BaseRepresentation
bin1011000110010000011100…
…1001011101111000001010
31121012111210212022001221100
42301210013021131320022
53044404421213310442
641541324422122230
72366400646523652
oct261440711357012
947174725261840
1012202122010122
113984988847680
121450a29b80376
136a6869534c45
1430282b839362
1516261280884c
hexb190725de0a

12202122010122 has 192 divisors, whose sum is σ = 29393491196160. Its totient is φ = 3627387187200.

The previous prime is 12202122010097. The next prime is 12202122010123. The reversal of 12202122010122 is 22101022120221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12202122010095 and 12202122010104.

It is not an unprimeable number, because it can be changed into a prime (12202122010123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3617585628 + ... + 3617589000.

It is an arithmetic number, because the mean of its divisors is an integer number (153091099980).

Almost surely, 212202122010122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202122010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696745598080).

12202122010122 is an abundant number, since it is smaller than the sum of its proper divisors (17191369186038).

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

12202122010122 is a wasteful number, since it uses less digits than its factorization.

12202122010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4666 counting only the distinct ones).

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

Adding to 12202122010122 its reverse (22101022120221), we get a palindrome (34303144130343).

The spelling of 12202122010122 in words is "twelve trillion, two hundred two billion, one hundred twenty-two million, ten thousand, one hundred twenty-two".