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121650042480 = 24357114874801
BaseRepresentation
bin111000101001011101…
…0000101011001110000
3102122000000000110020220
41301102322011121300
53443114402324410
6131515114333040
711534413204611
oct1612272053160
9378000013226
10121650042480
114765630649a
121b6b042a180
13b618cc1975
145c60545c08
15326ec8c070
hex1c52e85670

121650042480 has 160 divisors (see below), whose sum is σ = 382763501568. Its totient is φ = 31954944000.

The previous prime is 121650042457. The next prime is 121650042499. The reversal of 121650042480 is 84240056121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25336080 + ... + 25340880.

Almost surely, 2121650042480 is an apocalyptic number.

121650042480 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 121650042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191381750784).

121650042480 is an abundant number, since it is smaller than the sum of its proper divisors (261113459088).

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

121650042480 is a wasteful number, since it uses less digits than its factorization.

121650042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 121650042480 in words is "one hundred twenty-one billion, six hundred fifty million, forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1487 1704 2130 2840 2974 3408 4260 4461 4801 5680 5948 7435 8520 8922 9602 11896 14403 14870 17040 17844 19204 22305 23792 24005 28806 29740 35688 38408 44610 48010 57612 59480 71376 72015 76816 89220 96020 105577 115224 118960 144030 178440 192040 211154 230448 288060 316731 340871 356880 384080 422308 527885 576120 633462 681742 844616 1022613 1055770 1152240 1266924 1363484 1583655 1689232 1704355 2045226 2111540 2533848 2726968 3167310 3408710 4090452 4223080 5067696 5113065 5453936 6334620 6817420 7139087 8180904 8446160 10226130 12669240 13634840 14278174 16361808 20452260 21417261 25338480 27269680 28556348 35695435 40904520 42834522 57112696 71390870 81809040 85669044 107086305 114225392 142781740 171338088 214172610 285563480 342676176 428345220 506875177 571126960 856690440 1013750354 1520625531 1713380880 2027500708 2534375885 3041251062 4055001416 5068751770 6082502124 7603127655 8110002832 10137503540 12165004248 15206255310 20275007080 24330008496 30412510620 40550014160 60825021240 121650042480