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122130121000 = 23531071318713
BaseRepresentation
bin111000110111110000…
…1011100000100101000
3102200020110100222011211
41301233201130010220
54000110302333000
6132034504202504
711552332620466
oct1615741340450
9380213328154
10122130121000
11478822a65a8
121b805169434
13b6945c02b4
145ca81d3836
15329bebc7ba
hex1c6f85c128

122130121000 has 128 divisors (see below), whose sum is σ = 290690674560. Its totient is φ = 48020544000.

The previous prime is 122130120989. The next prime is 122130121027. The reversal of 122130121000 is 121031221.

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, 14012644 + ... + 14021356.

It is an arithmetic number, because the mean of its divisors is an integer number (2271020895).

Almost surely, 2122130121000 is an apocalyptic number.

122130121000 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 122130121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145345337280).

122130121000 is an abundant number, since it is smaller than the sum of its proper divisors (168560553560).

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

122130121000 is a wasteful number, since it uses less digits than its factorization.

122130121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122130121000 its reverse (121031221), we get a palindrome (122251152221).

The spelling of 122130121000 in words is "one hundred twenty-two billion, one hundred thirty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 131 200 214 250 262 428 500 524 535 655 856 1000 1048 1070 1310 2140 2620 2675 3275 4280 5240 5350 6550 8713 10700 13100 13375 14017 16375 17426 21400 26200 26750 28034 32750 34852 43565 53500 56068 65500 69704 70085 87130 107000 112136 131000 140170 174260 217825 280340 348520 350425 435650 560680 700850 871300 932291 1089125 1141403 1401700 1742600 1752125 1864582 2178250 2282806 2803400 3504250 3729164 4356500 4565612 4661455 5707015 7008500 7458328 8713000 9131224 9322910 11414030 14017000 18645820 22828060 23307275 28535075 37291640 45656120 46614550 57070150 93229100 114140300 116536375 122130121 142675375 186458200 228280600 233072750 244260242 285350750 466145500 488520484 570701500 610650605 932291000 977040968 1141403000 1221301210 2442602420 3053253025 4885204840 6106506050 12213012100 15266265125 24426024200 30532530250 61065060500 122130121000