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121131102000 = 24353116317359
BaseRepresentation
bin111000011001111111…
…0011110111100110000
3102120122211112112202010
41300303332132330300
53441034030231000
6131351415522520
711515512243606
oct1606376367460
9376584475663
10121131102000
114740a392867
121b586689440
13b5656377ac
145c1165d876
15323e431d50
hex1c33f9ef30

121131102000 has 160 divisors (see below), whose sum is σ = 390884981760. Its totient is φ = 32271993600.

The previous prime is 121131101999. The next prime is 121131102011. The reversal of 121131102000 is 201131121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6969321 + ... + 6986679.

It is an arithmetic number, because the mean of its divisors is an integer number (2443031136).

Almost surely, 2121131102000 is an apocalyptic number.

121131102000 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 121131102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195442490880).

121131102000 is an abundant number, since it is smaller than the sum of its proper divisors (269753879760).

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

121131102000 is a wasteful number, since it uses less digits than its factorization.

121131102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18548 (or 18532 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121131102000 its reverse (201131121), we get a palindrome (121332233121).

The spelling of 121131102000 in words is "one hundred twenty-one billion, one hundred thirty-one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1163 1200 1500 2000 2326 3000 3489 4652 5815 6000 6978 9304 11630 13956 17359 17445 18608 23260 27912 29075 34718 34890 46520 52077 55824 58150 69436 69780 86795 87225 93040 104154 116300 138872 139560 145375 173590 174450 208308 232600 260385 277744 279120 290750 347180 348900 416616 433975 436125 465200 520770 581500 694360 697800 833232 867950 872250 1041540 1163000 1301925 1388720 1395600 1735900 1744500 2083080 2169875 2326000 2603850 3471800 3489000 4166160 4339750 5207700 6509625 6943600 6978000 8679500 10415400 13019250 17359000 20188517 20830800 26038500 34718000 40377034 52077000 60565551 80754068 100942585 104154000 121131102 161508136 201885170 242262204 302827755 323016272 403770340 484524408 504712925 605655510 807540680 969048816 1009425850 1211311020 1514138775 1615081360 2018851700 2422622040 2523564625 3028277550 4037703400 4845244080 5047129250 6056555100 7570693875 8075406800 10094258500 12113110200 15141387750 20188517000 24226220400 30282775500 40377034000 60565551000 121131102000