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121442240040 = 233511211436027
BaseRepresentation
bin111000100011010000…
…1011000011000101000
3102121110111222222220020
41301012201120120220
53442203203140130
6131442332400440
711526311002602
oct1610641303050
9377414888806
10121442240040
1147559a84440
121b652916120
13b5b4c35144
145c40ad2172
15325b8e0e10
hex1c46858628

121442240040 has 128 divisors (see below), whose sum is σ = 399331883520. Its totient is φ = 29300947200.

The previous prime is 121442240027. The next prime is 121442240047. The reversal of 121442240040 is 40042244121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121442240047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60507 + ... + 496533.

It is an arithmetic number, because the mean of its divisors is an integer number (3119780340).

Almost surely, 2121442240040 is an apocalyptic number.

121442240040 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 121442240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199665941760).

121442240040 is an abundant number, since it is smaller than the sum of its proper divisors (277889643480).

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

121442240040 is a wasteful number, since it uses less digits than its factorization.

121442240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436263 (or 436259 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 121442240040 its reverse (40042244121), we get a palindrome (161484484161).

The spelling of 121442240040 in words is "one hundred twenty-one billion, four hundred forty-two million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 211 220 264 330 422 440 633 660 844 1055 1266 1320 1688 2110 2321 2532 3165 4220 4642 5064 6330 6963 8440 9284 11605 12660 13926 18568 23210 25320 27852 34815 46420 55704 69630 92840 139260 278520 436027 872054 1308081 1744108 2180135 2616162 3488216 4360270 4796297 5232324 6540405 8720540 9592594 10464648 13080810 14388891 17441080 19185188 23981485 26161620 28777782 38370376 47962970 52323240 57555564 71944455 92001697 95925940 115111128 143888910 184003394 191851880 276005091 287777820 368006788 460008485 552010182 575555640 736013576 920016970 1012018667 1104020364 1380025455 1840033940 2024037334 2208040728 2760050910 3036056001 3680067880 4048074668 5060093335 5520101820 6072112002 8096149336 10120186670 11040203640 12144224004 15180280005 20240373340 24288448008 30360560010 40480746680 60721120020 121442240040