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121244443140 = 223541397124147
BaseRepresentation
bin111000011101010111…
…0110110001000000100
3102120221201210212120010
41300322232312020010
53441302034140030
6131410545110220
711521356522342
oct1607256661004
9376851725503
10121244443140
1147468366727
121b5b8628370
13b582c6c862
145c22724992
15324936e6b0
hex1c3abb6204

121244443140 has 96 divisors (see below), whose sum is σ = 348643338624. Its totient is φ = 31463562240.

The previous prime is 121244443129. The next prime is 121244443157. The reversal of 121244443140 is 41344442121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121244443098 and 121244443107.

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, 914547 + ... + 1038693.

It is an arithmetic number, because the mean of its divisors is an integer number (3631701444).

Almost surely, 2121244443140 is an apocalyptic number.

121244443140 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 121244443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174321669312).

121244443140 is an abundant number, since it is smaller than the sum of its proper divisors (227398895484).

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

121244443140 is a wasteful number, since it uses less digits than its factorization.

121244443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124597 (or 124595 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 121244443140 its reverse (41344442121), we get a palindrome (162588885261).

The spelling of 121244443140 in words is "one hundred twenty-one billion, two hundred forty-four million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 397 410 492 615 794 820 1191 1230 1588 1985 2382 2460 3970 4764 5955 7940 11910 16277 23820 32554 48831 65108 81385 97662 124147 162770 195324 244155 248294 325540 372441 488310 496588 620735 744882 976620 1241470 1489764 1862205 2482940 3724410 5090027 7448820 10180054 15270081 20360108 25450135 30540162 49286359 50900270 61080324 76350405 98572718 101800540 147859077 152700810 197145436 246431795 295718154 305401620 492863590 591436308 739295385 985727180 1478590770 2020740719 2957181540 4041481438 6062222157 8082962876 10103703595 12124444314 20207407190 24248888628 30311110785 40414814380 60622221570 121244443140