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121868280 = 23335195939
BaseRepresentation
bin1110100001110…
…00111111111000
322111022112212000
413100320333320
5222144241110
620032021000
73006602052
oct720707770
9274275760
10121868280
1162878496
1234991760
131c32c411
14122848d2
15aa741c0
hex7438ff8

121868280 has 128 divisors (see below), whose sum is σ = 427680000. Its totient is φ = 30782592.

The previous prime is 121868249. The next prime is 121868297. The reversal of 121868280 is 82868121.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17551 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (3341250).

Almost surely, 2121868280 is an apocalyptic number.

121868280 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 121868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213840000).

121868280 is an abundant number, since it is smaller than the sum of its proper divisors (305811720).

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

121868280 is a wasteful number, since it uses less digits than its factorization.

121868280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 121868280 is about 11039.3967226475. The cubic root of 121868280 is about 495.7890079875.

The spelling of 121868280 in words is "one hundred twenty-one million, eight hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 5939 6840 10260 11878 17817 20520 23756 29695 35634 47512 53451 59390 71268 89085 106902 112841 118780 142536 160353 178170 213804 225682 237560 267255 320706 338523 356340 427608 451364 534510 564205 641412 677046 712680 801765 902728 1015569 1069020 1128410 1282824 1354092 1603530 1692615 2031138 2138040 2256820 2708184 3046707 3207060 3385230 4062276 4513640 5077845 6093414 6414120 6770460 8124552 10155690 12186828 13540920 15233535 20311380 24373656 30467070 40622760 60934140 121868280