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120828894060 = 22357312299363
BaseRepresentation
bin111000010000111110…
…1101001101101101100
3102112212202212210101110
41300201331221231230
53434424144102220
6131301422312020
711505152440110
oct1604175515554
9375782783343
10120828894060
1147274840536
121b501428610
13b517b45a24
145bc3473740
153222b38be0
hex1c21f69b6c

120828894060 has 144 divisors (see below), whose sum is σ = 399528799488. Its totient is φ = 26727039360.

The previous prime is 120828894059. The next prime is 120828894061. The reversal of 120828894060 is 60498828021.

It is an interprime number because it is at equal distance from previous prime (120828894059) and next prime (120828894061).

It is not an unprimeable number, because it can be changed into a prime (120828894061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253939 + ... + 553301.

It is an arithmetic number, because the mean of its divisors is an integer number (2774505552).

Almost surely, 2120828894060 is an apocalyptic number.

120828894060 is a gapful number since it is divisible by the number (10) 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 120828894060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199764399744).

120828894060 is an abundant number, since it is smaller than the sum of its proper divisors (278699905428).

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

120828894060 is a wasteful number, since it uses less digits than its factorization.

120828894060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299444 (or 299411 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 120828894060 in words is "one hundred twenty billion, eight hundred twenty-eight million, eight hundred ninety-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 961 1085 1302 1860 1922 2170 2604 2883 3255 3844 4340 4805 5766 6510 6727 9610 11532 13020 13454 14415 19220 20181 26908 28830 33635 40362 57660 67270 80724 100905 134540 201810 299363 403620 598726 898089 1197452 1496815 1796178 2095541 2993630 3592356 4191082 4490445 5987260 6286623 8382164 8980890 9280253 10477705 12573246 17961780 18560506 20955410 25146492 27840759 31433115 37121012 41910820 46401265 55681518 62866230 64961771 92802530 111363036 125732460 129923542 139203795 185605060 194885313 259847084 278407590 287687843 324808855 389770626 556815180 575375686 649617710 779541252 863063529 974426565 1150751372 1299235420 1438439215 1726127058 1948853130 2013814901 2876878430 3452254116 3897706260 4027629802 4315317645 5753756860 6041444703 8055259604 8630635290 10069074505 12082889406 17261270580 20138149010 24165778812 30207223515 40276298020 60414447030 120828894060