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121122213000 = 23353317127363
BaseRepresentation
bin111000011001101110…
…0100100110010001000
3102120122012210221022220
41300303130210302020
53441024241304000
6131350501214040
711515343552265
oct1606334446210
9376565727286
10121122213000
1147405371388
121b583701320
13b563844829
145c103c826c
15323d7781a0
hex1c33724c88

121122213000 has 128 divisors (see below), whose sum is σ = 379096398720. Its totient is φ = 32197113600.

The previous prime is 121122212999. The next prime is 121122213031. The reversal of 121122213000 is 312221121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887319 + ... + 1014681.

It is an arithmetic number, because the mean of its divisors is an integer number (2961690615).

Almost surely, 2121122213000 is an apocalyptic number.

121122213000 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 121122213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189548199360).

121122213000 is an abundant number, since it is smaller than the sum of its proper divisors (257974185720).

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

121122213000 is a wasteful number, since it uses less digits than its factorization.

121122213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127704 (or 127690 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121122213000 its reverse (312221121), we get a palindrome (121434434121).

The spelling of 121122213000 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 317 375 500 600 634 750 951 1000 1268 1500 1585 1902 2536 3000 3170 3804 4755 6340 7608 7925 9510 12680 15850 19020 23775 31700 38040 39625 47550 63400 79250 95100 118875 127363 158500 190200 237750 254726 317000 382089 475500 509452 636815 764178 951000 1018904 1273630 1528356 1910445 2547260 3056712 3184075 3820890 5094520 6368150 7641780 9552225 12736300 15283560 15920375 19104450 25472600 31840750 38208900 40374071 47761125 63681500 76417800 80748142 95522250 121122213 127363000 161496284 191044500 201870355 242244426 322992568 382089000 403740710 484488852 605611065 807481420 968977704 1009351775 1211222130 1614962840 2018703550 2422444260 3028055325 4037407100 4844888520 5046758875 6056110650 8074814200 10093517750 12112221300 15140276625 20187035500 24224442600 30280553250 40374071000 60561106500 121122213000