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12202121200122 = 23272271931220931
BaseRepresentation
bin1011000110010000011100…
…0110011000000111111010
31121012111210210202220211100
42301210013012120013322
53044404421011400442
641541324352512230
72366400636611310
oct261440706300772
947174723686740
1012202121200122
113984988344057
121450a2984b676
136a6869310359
1430282b6a80b0
151626126e884c
hexb19071981fa

12202121200122 has 96 divisors (see below), whose sum is σ = 30363734628864. Its totient is φ = 3469148906400.

The previous prime is 12202121200109. The next prime is 12202121200133. The reversal of 12202121200122 is 22100212120221.

It is a happy number.

12202121200122 is a `hidden beast` number, since 1 + 220 + 2 + 121 + 200 + 122 = 666.

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 = 12202121200095 and 12202121200104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55119997 + ... + 55340927.

It is an arithmetic number, because the mean of its divisors is an integer number (316288902384).

Almost surely, 212202121200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202121200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181867314432).

12202121200122 is an abundant number, since it is smaller than the sum of its proper divisors (18161613428742).

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

12202121200122 is a wasteful number, since it uses less digits than its factorization.

12202121200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223104 (or 223101 counting only the distinct ones).

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

Adding to 12202121200122 its reverse (22100212120221), we get a palindrome (34302333320343).

The spelling of 12202121200122 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 1931 2043 3178 3862 4086 4767 5793 9534 11586 13517 14301 17379 27034 28602 34758 40551 81102 121653 220931 243306 438337 441862 662793 876674 1315011 1325586 1546517 1988379 2630022 3068359 3093034 3945033 3976758 4639551 6136718 7890066 9205077 9279102 13918653 18410154 27615231 27837306 50151337 55230462 100302674 150454011 300908022 351059359 426617761 451362033 702118718 853235522 902724066 1053178077 1279853283 2106356154 2559706566 2986324327 3159534231 3839559849 5972648654 6319068462 7679119698 8958972981 17917945962 26876918943 53753837886 96842231747 193684463494 290526695241 581053390482 677895622229 871580085723 1355791244458 1743160171446 2033686866687 4067373733374 6101060600061 12202121200122