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12021120111222 = 234139210193769
BaseRepresentation
bin1010111011101110001010…
…0110000001001001110110
31120120012121112021220210000
42232323202212001021312
53033423223222024342
641322232031212130
72350332364003545
oct256734246011166
946505545256700
1012021120111222
113915145a04a82
121421934977046
1369278216a111
142d7b7a95a15c
1515ca6c19644c
hexaeee2981276

12021120111222 has 120 divisors (see below), whose sum is σ = 27165224572200. Its totient is φ = 3973253902272.

The previous prime is 12021120111181. The next prime is 12021120111223. The reversal of 12021120111222 is 22211102112021.

12021120111222 is a `hidden beast` number, since 1 + 20 + 211 + 201 + 11 + 222 = 666.

12021120111222 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 junction number, because it is equal to n+sod(n) for n = 12021120111195 and 12021120111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021120111223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3189470154 + ... + 3189473922.

It is an arithmetic number, because the mean of its divisors is an integer number (226376871435).

Almost surely, 212021120111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021120111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582612286100).

12021120111222 is an abundant number, since it is smaller than the sum of its proper divisors (15144104460978).

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

12021120111222 is a wasteful number, since it uses less digits than its factorization.

12021120111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12021120111222 its reverse (22211102112021), we get a palindrome (34232222223243).

The spelling of 12021120111222 in words is "twelve trillion, twenty-one billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1019 1251 2038 2502 3057 3753 3769 6114 7506 7538 9171 11259 11307 18342 19321 22518 22614 27513 33921 38642 55026 57963 67842 82539 101763 115926 141641 165078 173889 203526 283282 305289 347778 424923 521667 523891 610578 849846 1043334 1047782 1274769 1565001 1571673 2549538 3130002 3143346 3824307 3840611 4715019 7648614 7681222 9430038 11472921 11521833 14145057 19688099 22945842 23043666 28290114 34565499 39376198 42435171 59064297 69130998 72820849 84870342 103696497 118128594 145641698 177192891 207392994 218462547 311089491 354385782 436925094 531578673 533844929 622178982 655387641 1063157346 1067689858 1310775282 1594736019 1601534787 1966162923 3189472038 3203069574 3932325846 4804604361 5898488769 9609208722 11796977538 14413813083 28827626166 43241439249 74204445131 86482878498 148408890262 222613335393 445226670786 667840006179 1335680012358 2003520018537 4007040037074 6010560055611 12021120111222