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1212110221000 = 23537873719819
BaseRepresentation
bin10001101000110111011…
…001100010111011001000
311021212200001020002010011
4101220313121202323020
5124324400204033000
62324500304401304
7153400135611550
oct21506731427310
94255601202104
101212110221000
114280646903a8
12176ab9316234
138a3bc531353
1442948a38160
15217e2e7e2ba
hex11a37662ec8

1212110221000 has 128 divisors (see below), whose sum is σ = 3242063635200. Its totient is φ = 415512115200.

The previous prime is 1212110220973. The next prime is 1212110221009. The reversal of 1212110221000 is 1220112121.

It is a super-2 number, since 2×12121102210002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1212110221009) 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, 61149091 + ... + 61168909.

It is an arithmetic number, because the mean of its divisors is an integer number (25328622150).

Almost surely, 21212110221000 is an apocalyptic number.

1212110221000 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 1212110221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621031817600).

1212110221000 is an abundant number, since it is smaller than the sum of its proper divisors (2029953414200).

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

1212110221000 is a wasteful number, since it uses less digits than its factorization.

1212110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28584 (or 28570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1212110221000 its reverse (1220112121), we get a palindrome (1213330333121).

The spelling of 1212110221000 in words is "one trillion, two hundred twelve billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 8737 17474 19819 34948 39638 43685 61159 69896 79276 87370 99095 122318 138733 158552 174740 198190 218425 244636 277466 305795 349480 396380 436850 489272 495475 554932 611590 693665 792760 873700 990950 1092125 1109864 1223180 1387330 1528975 1747400 1981900 2184250 2446360 2477375 2774660 3057950 3468325 3963800 4368500 4954750 5549320 6115900 6936650 7644875 8737000 9909500 12231800 13873300 15289750 17341625 19819000 27746600 30579500 34683250 61159000 69366500 138733000 173158603 346317206 692634412 865793015 1212110221 1385268824 1731586030 2424220442 3463172060 4328965075 4848440884 6060551105 6926344120 8657930150 9696881768 12121102210 17315860300 21644825375 24242204420 30302755525 34631720600 43289650750 48484408840 60605511050 86579301500 121211022100 151513777625 173158603000 242422044200 303027555250 606055110500 1212110221000