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121323212320 = 2556136733871
BaseRepresentation
bin111000011111101101…
…1010100111000100000
3102121011020000202120011
41300333123110320200
53441432220243240
6131422441254304
711523334201162
oct1607733247040
9377136022504
10121323212320
11474a8877122
121b61aa94394
13b59638b93b
145c2cd8a932
15325122d6ea
hex1c3f6d4e20

121323212320 has 96 divisors (see below), whose sum is σ = 292127302656. Its totient is φ = 47602252800.

The previous prime is 121323212317. The next prime is 121323212327. The reversal of 121323212320 is 23212323121.

It is a junction number, because it is equal to n+sod(n) for n = 121323212291 and 121323212300.

It is not an unprimeable number, because it can be changed into a prime (121323212327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564985 + ... + 3598855.

It is an arithmetic number, because the mean of its divisors is an integer number (3042992736).

Almost surely, 2121323212320 is an apocalyptic number.

121323212320 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 121323212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146063651328).

121323212320 is an abundant number, since it is smaller than the sum of its proper divisors (170804090336).

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

121323212320 is a wasteful number, since it uses less digits than its factorization.

121323212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314 (or 34306 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 121323212320 its reverse (23212323121), we get a palindrome (144535535441).

The spelling of 121323212320 in words is "one hundred twenty-one billion, three hundred twenty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 367 488 610 734 976 1220 1468 1835 1952 2440 2936 3670 4880 5872 7340 9760 11744 14680 22387 29360 33871 44774 58720 67742 89548 111935 135484 169355 179096 223870 270968 338710 358192 447740 541936 677420 716384 895480 1083872 1354840 1790960 2066131 2709680 3581920 4132262 5419360 8264524 10330655 12430657 16529048 20661310 24861314 33058096 41322620 49722628 62153285 66116192 82645240 99445256 124306570 165290480 198890512 248613140 330580960 397781024 497226280 758270077 994452560 1516540154 1988905120 3033080308 3791350385 6066160616 7582700770 12132321232 15165401540 24264642464 30330803080 60661606160 121323212320