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1221220202112 = 27331973179099
BaseRepresentation
bin10001110001010110011…
…001010111011010000000
311022202011221021001212000
4101301112121113122000
5130002024332431422
62333004255104000
7154141655305341
oct21612631273200
94282157231760
101221220202112
11430a09a70009
12178820212000
138b211a0b211
14431708bc0c8
1521b77b32cac
hex11c56657680

1221220202112 has 128 divisors (see below), whose sum is σ = 3606142680000. Its totient is φ = 406864806912.

The previous prime is 1221220202071. The next prime is 1221220202123. The reversal of 1221220202112 is 2112020221221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729139 + ... + 6908237.

Almost surely, 21221220202112 is an apocalyptic number.

1221220202112 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 1221220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803071340000).

1221220202112 is an abundant number, since it is smaller than the sum of its proper divisors (2384922477888).

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

1221220202112 is a wasteful number, since it uses less digits than its factorization.

1221220202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181095 (or 181077 counting only the distinct ones).

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

Adding to 1221220202112 its reverse (2112020221221), we get a palindrome (3333240423333).

The spelling of 1221220202112 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 1973 3456 3946 5919 7892 11838 15784 17757 23676 31568 35514 47352 53271 63136 71028 94704 106542 126272 142056 179099 189408 213084 252544 284112 358198 378816 426168 537297 568224 716396 757632 852336 1074594 1136448 1432792 1611891 1704672 2149188 2272896 2865584 3223782 3409344 4298376 4835673 5731168 6447564 6818688 8596752 9671346 11462336 12895128 17193504 19342692 22924672 25790256 34387008 38685384 51580512 68774016 77370768 103161024 154741536 206322048 309483072 353362327 618966144 706724654 1060086981 1413449308 2120173962 2826898616 3180260943 4240347924 5653797232 6360521886 8480695848 9540782829 11307594464 12721043772 16961391696 19081565658 22615188928 25442087544 33922783392 38163131316 45230377856 50884175088 67845566784 76326262632 101768350176 135691133568 152652525264 203536700352 305305050528 407073400704 610610101056 1221220202112