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1212122121012 = 22321117569316439
BaseRepresentation
bin10001101000111000000…
…110111100001100110100
311021212200212121122212100
4101220320012330030310
5124324411230333022
62324501411422100
7153400342013505
oct21507006741464
94255625548770
101212122121012
11428070379020
12176b012b4930
138a3c1b3998a
144294a454bac
15217e40301ac
hex11a381bc334

1212122121012 has 144 divisors (see below), whose sum is σ = 3545368444800. Its totient is φ = 345094625280.

The previous prime is 1212122120999. The next prime is 1212122121013. The reversal of 1212122121012 is 2101212212121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212122121013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3672289 + ... + 3988727.

It is an arithmetic number, because the mean of its divisors is an integer number (24620614200).

Almost surely, 21212122121012 is an apocalyptic number.

1212122121012 is a gapful number since it is divisible by the number (12) 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 1212122121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772684222400).

1212122121012 is an abundant number, since it is smaller than the sum of its proper divisors (2333246323788).

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

1212122121012 is a wasteful number, since it uses less digits than its factorization.

1212122121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317046 (or 317041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1212122121012 its reverse (2101212212121), we get a palindrome (3313334333133).

The spelling of 1212122121012 in words is "one trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 569 612 748 1122 1138 1683 1707 2244 2276 3366 3414 5121 6259 6732 6828 9673 10242 12518 18777 19346 20484 25036 29019 37554 38692 56331 58038 75108 87057 106403 112662 116076 174114 212806 225324 316439 319209 348228 425612 632878 638418 949317 957627 1265756 1276836 1898634 1915254 2847951 3480829 3797268 3830508 5379463 5695902 6961658 10442487 10758926 11391804 13923316 16138389 20884974 21517852 31327461 32276778 41769948 48415167 59174093 62654922 64553556 96830334 118348186 125309844 177522279 180053791 193660668 236696372 355044558 360107582 532566837 540161373 710089116 720215164 1065133674 1080322746 1620484119 1980591701 2130267348 2160645492 3060914447 3240968238 3961183402 5941775103 6121828894 6481936476 7922366804 9182743341 11883550206 12243657788 17825325309 18365486682 23767100412 27548230023 33670058917 35650650618 36730973364 55096460046 67340117834 71301301236 101010176751 110192920092 134680235668 202020353502 303030530253 404040707004 606061060506 1212122121012