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12011121096 = 23313472772957
BaseRepresentation
bin10110010111110101…
…10010100111001000
31011000002001011121220
423023322302213020
5144044321333341
65303504002040
7603434562522
oct131372624710
934002034556
1012011121096
115103a68067
1223b2600320
131195559760
1481d2b4a12
154a471aa66
hex2cbeb29c8

12011121096 has 128 divisors (see below), whose sum is σ = 33156103680. Its totient is φ = 3602820096.

The previous prime is 12011121079. The next prime is 12011121097. The reversal of 12011121096 is 69012111021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12011121097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4060450 + ... + 4063406.

It is an arithmetic number, because the mean of its divisors is an integer number (259032060).

Almost surely, 212011121096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011121096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578051840).

12011121096 is an abundant number, since it is smaller than the sum of its proper divisors (21144982584).

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

12011121096 is a wasteful number, since it uses less digits than its factorization.

12011121096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 12011121096 in words is "twelve billion, eleven million, one hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 277 282 312 376 554 564 611 831 1108 1128 1222 1662 1833 2216 2444 2957 3324 3601 3666 4888 5914 6648 7202 7332 8871 10803 11828 13019 14404 14664 17742 21606 23656 26038 28808 35484 38441 39057 43212 52076 70968 76882 78114 86424 104152 115323 138979 153764 156228 169247 230646 277958 307528 312456 338494 416937 461292 507741 555916 676988 819089 833874 922584 1015482 1111832 1353976 1638178 1667748 1806727 2030964 2457267 3276356 3335496 3613454 4061928 4914534 5420181 6552712 7226908 9829068 10648157 10840362 14453816 19658136 21296314 21680724 31944471 38497183 42592628 43361448 63888942 76994366 85185256 115491549 127777884 153988732 230983098 255555768 307977464 461966196 500463379 923932392 1000926758 1501390137 2001853516 3002780274 4003707032 6005560548 12011121096