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121300031232 = 2832461114203
BaseRepresentation
bin111000011111000001…
…0111001011100000000
3102121002121102001002100
41300332002321130000
53441410301444412
6131420252350400
711522633152632
oct1607602713400
9377077361070
10121300031232
11474967838a6
121b613175400
13b591633613
145c29c74a52
15324e19eedc
hex1c3e0b9700

121300031232 has 108 divisors (see below), whose sum is σ = 350499613464. Its totient is φ = 40345282560.

The previous prime is 121300031221. The next prime is 121300031243. The reversal of 121300031232 is 232130003121.

121300031232 is a `hidden beast` number, since 1 + 21 + 300 + 0 + 312 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (121300031221) and next prime (121300031243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005043 + ... + 1119245.

Almost surely, 2121300031232 is an apocalyptic number.

121300031232 is a gapful number since it is divisible by the number (12) 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 121300031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175249806732).

121300031232 is an abundant number, since it is smaller than the sum of its proper divisors (229199582232).

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

121300031232 is a wasteful number, since it uses less digits than its factorization.

121300031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114686 (or 114669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121300031232 its reverse (232130003121), we get a palindrome (353430034353).

The spelling of 121300031232 in words is "one hundred twenty-one billion, three hundred million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 461 576 768 922 1152 1383 1844 2304 2766 3688 4149 5532 7376 8298 11064 14752 16596 22128 29504 33192 44256 59008 66384 88512 114203 118016 132768 177024 228406 265536 342609 354048 456812 531072 685218 913624 1027827 1062144 1370436 1827248 2055654 2740872 3654496 4111308 5481744 7308992 8222616 10963488 14617984 16445232 21926976 29235968 32890464 43853952 52647583 65780928 87707904 105295166 131561856 157942749 210590332 263123712 315885498 421180664 473828247 631770996 842361328 947656494 1263541992 1684722656 1895312988 2527083984 3369445312 3790625976 5054167968 6738890624 7581251952 10108335936 13477781248 15162503904 20216671872 30325007808 40433343744 60650015616 121300031232