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120126055671768 = 233311911974291061
BaseRepresentation
bin11011010100000100000110…
…111000000110011111011000
3120202022221100100202122102110
4123110010012320012133120
5111221121130222444033
61103253051555232320
734205551433544246
oct3324040670063730
9522287310678373
10120126055671768
11353041a0824143
1211581298ba86a0
135204ab90a2973
1421941bc757796
15dd4b4b08e363
hex6d4106e067d8

120126055671768 has 128 divisors (see below), whose sum is σ = 313207704944640. Its totient is φ = 38351777856000.

The previous prime is 120126055671679. The next prime is 120126055671829. The reversal of 120126055671768 is 867176550621021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25848958 + ... + 30140018.

It is an arithmetic number, because the mean of its divisors is an integer number (2446935194880).

Almost surely, 2120126055671768 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 120126055671768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156603852472320).

120126055671768 is an abundant number, since it is smaller than the sum of its proper divisors (193081649272872).

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

120126055671768 is a wasteful number, since it uses less digits than its factorization.

120126055671768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291489 (or 4291485 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 120126055671768 in words is "one hundred twenty trillion, one hundred twenty-six billion, fifty-five million, six hundred seventy-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 191 197 248 372 382 394 573 591 744 764 788 1146 1182 1528 1576 2292 2364 4584 4728 5921 6107 11842 12214 17763 18321 23684 24428 35526 36642 37627 47368 48856 71052 73284 75254 112881 142104 146568 150508 225762 301016 451524 903048 1166437 2332874 3499311 4291061 4665748 6998622 8582122 9331496 12873183 13997244 17164244 25746366 27994488 34328488 51492732 102985464 133022891 266045782 399068673 532091564 798137346 819592651 845339017 1064183128 1596274692 1639185302 1690678034 2458777953 2536017051 3192549384 3278370604 3381356068 4917555906 5072034102 6556741208 6762712136 9835111812 10144068204 19670223624 20288136408 25407372181 26205509527 50814744362 52411019054 76222116543 78616528581 101629488724 104822038108 152444233086 157233057162 161459752247 203258977448 209644076216 304888466172 314466114324 322919504494 484379256741 609776932344 628932228648 645839008988 968758513482 1291678017976 1937517026964 3875034053928 5005252319657 10010504639314 15015756958971 20021009278628 30031513917942 40042018557256 60063027835884 120126055671768