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12121333022000 = 245318733235807
BaseRepresentation
bin1011000001100011011110…
…1111111011110100110000
31120220210021112120020201002
42300120313233323310300
53042043442223201000
641440244041501132
72360510634461306
oct260306757736460
946823245506632
1012121333022000
1139536a05410a4
121439241aa17a8
1369c062b04567
142dc965da0276
15160484e3a8d5
hexb0637bfbd30

12121333022000 has 80 divisors (see below), whose sum is σ = 29325040672512. Its totient is φ = 4845943065600.

The previous prime is 12121333021957. The next prime is 12121333022033. The reversal of 12121333022000 is 22033312121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128097 + ... + 5363903.

Almost surely, 212121333022000 is an apocalyptic number.

12121333022000 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 12121333022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662520336256).

12121333022000 is an abundant number, since it is smaller than the sum of its proper divisors (17203707650512).

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

12121333022000 is a wasteful number, since it uses less digits than its factorization.

12121333022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237703 (or 3237687 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12121333022000 its reverse (22033312121), we get a palindrome (12143366334121).

The spelling of 12121333022000 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirty-three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1873 2000 3746 7492 9365 14984 18730 29968 37460 46825 74920 93650 149840 187300 234125 374600 468250 749200 936500 1873000 3235807 3746000 6471614 12943228 16179035 25886456 32358070 51772912 64716140 80895175 129432280 161790350 258864560 323580700 404475875 647161400 808951750 1294322800 1617903500 3235807000 6060666511 6471614000 12121333022 24242666044 30303332555 48485332088 60606665110 96970664176 121213330220 151516662775 242426660440 303033325550 484853320880 606066651100 757583313875 1212133302200 1515166627750 2424266604400 3030333255500 6060666511000 12121333022000