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121542211000 = 2353779219787
BaseRepresentation
bin111000100110001111…
…0101111010110111000
3102121201111010001021101
41301030132233112320
53442404301223000
6131500303221144
711531633514250
oct1611436572670
9377644101241
10121542211000
1147600456071
121b6802a77b4
13b5cc868662
145c500b6960
15326558be6a
hex1c4c7af5b8

121542211000 has 128 divisors (see below), whose sum is σ = 329154508800. Its totient is φ = 41143939200.

The previous prime is 121542210997. The next prime is 121542211001. The reversal of 121542211000 is 112245121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121542211001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443107 + ... + 662893.

It is an arithmetic number, because the mean of its divisors is an integer number (2571519600).

Almost surely, 2121542211000 is an apocalyptic number.

121542211000 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 121542211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164577254400).

121542211000 is an abundant number, since it is smaller than the sum of its proper divisors (207612297800).

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

121542211000 is a wasteful number, since it uses less digits than its factorization.

121542211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219894 (or 219880 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 121542211000 its reverse (112245121), we get a palindrome (121654456121).

The spelling of 121542211000 in words is "one hundred twenty-one billion, five hundred forty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 125 140 158 175 200 250 280 316 350 395 500 553 632 700 790 875 1000 1106 1400 1580 1750 1975 2212 2765 3160 3500 3950 4424 5530 7000 7900 9875 11060 13825 15800 19750 22120 27650 39500 55300 69125 79000 110600 138250 219787 276500 439574 553000 879148 1098935 1538509 1758296 2197870 3077018 4395740 5494675 6154036 7692545 8791480 10989350 12308072 15385090 17363173 21978700 27473375 30770180 34726346 38462725 43957400 54946750 61540360 69452692 76925450 86815865 109893500 121542211 138905384 153850900 173631730 192313625 219787000 243084422 307701800 347263460 384627250 434079325 486168844 607711055 694526920 769254500 868158650 972337688 1215422110 1538509000 1736317300 2170396625 2430844220 3038555275 3472634600 4340793250 4861688440 6077110550 8681586500 12154221100 15192776375 17363173000 24308442200 30385552750 60771105500 121542211000