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12204111140192 = 254322392413581
BaseRepresentation
bin1011000110010111110110…
…1101011001010101100000
31121012200221111012100102102
42301211331231121111200
53044423004422441232
641542254040105532
72366501152043666
oct261457555312540
947180844170372
1012204111140192
11398580963a524
1214512a41652a8
136a6ac567479a
14302979aa4c36
151626cc270662
hexb197db59560

12204111140192 has 144 divisors (see below), whose sum is σ = 24810947663040. Its totient is φ = 5908931481600.

The previous prime is 12204111140189. The next prime is 12204111140203. The reversal of 12204111140192 is 29104111140221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3408015842 + ... + 3408019422.

It is an arithmetic number, because the mean of its divisors is an integer number (172298247660).

Almost surely, 212204111140192 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 12204111140192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405473831520).

12204111140192 is an abundant number, since it is smaller than the sum of its proper divisors (12606836522848).

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

12204111140192 is a wasteful number, since it uses less digits than its factorization.

12204111140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

Adding to 12204111140192 its sum of digits (29), we get a palindrome (12204111140221).

The spelling of 12204111140192 in words is "twelve trillion, two hundred four billion, one hundred eleven million, one hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 86 172 239 241 344 478 482 688 956 964 1376 1849 1912 1928 3581 3698 3824 3856 7162 7396 7648 7712 10277 10363 14324 14792 20554 20726 28648 29584 41108 41452 57296 57599 59168 82216 82904 114592 115198 153983 164432 165808 230396 307966 328864 331616 441911 445609 460792 615932 855859 863021 883822 891218 921584 1231864 1711718 1726042 1767644 1782436 1843168 2463728 2476757 3423436 3452084 3535288 3564872 4927456 4953514 6621269 6846872 6904168 7070576 7129744 9907028 13242538 13693744 13808336 14141152 14259488 19814056 26485076 27387488 27616672 36801937 37109903 39628112 52970152 73603874 74219806 79256224 105940304 106500551 147207748 148439612 206262019 211880608 213001102 294415496 296879224 412524038 426002204 588830992 593758448 825048076 852004408 1177661984 1187516896 1582483291 1595725829 1650096152 1704008816 3164966582 3191451658 3300192304 3408017632 6329933164 6382903316 6600384608 8869266817 12659866328 12765806632 17738533634 25319732656 25531613264 35477067268 50639465312 51063226528 70954134536 141908269072 283816538144 381378473131 762756946262 1525513892524 3051027785048 6102055570096 12204111140192