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12122021105440 = 255757969710321
BaseRepresentation
bin1011000001100110000011…
…0000110000111100100000
31120220212001111022111201221
42300121200300300330200
53042101344400333230
641440440221504424
72360533661211421
oct260314060607440
946825044274657
1012122021105440
113953a139913a4
1214393b4412114
1369c14253091c
142dc9cd515648
151604c555727a
hexb0660c30f20

12122021105440 has 96 divisors (see below), whose sum is σ = 28681842060144. Its totient is φ = 4841434644480.

The previous prime is 12122021105419. The next prime is 12122021105449. The reversal of 12122021105440 is 4450112022121.

It can be written as a sum of positive squares in 8 ways, for example, as 3776601449104 + 8345419656336 = 1943348^2 + 2888844^2 .

It is not an unprimeable number, because it can be changed into a prime (12122021105449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174495480 + ... + 1174505800.

Almost surely, 212122021105440 is an apocalyptic number.

12122021105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122021105440 is an abundant number, since it is smaller than the sum of its proper divisors (16559820954704).

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

12122021105440 is a wasteful number, since it uses less digits than its factorization.

12122021105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20790 (or 20782 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 12122021105440 its reverse (4450112022121), we get a palindrome (16572133127561).

The spelling of 12122021105440 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 757 1514 3028 3785 6056 7570 9697 10321 12112 15140 19394 20642 24224 30280 38788 41284 48485 51605 60560 77576 82568 96970 103210 121120 155152 165136 193940 206420 310304 330272 387880 412840 775760 825680 1551520 1651360 7340629 7812997 14681258 15625994 29362516 31251988 36703145 39064985 58725032 62503976 73406290 78129970 100082737 117450064 125007952 146812580 156259940 200165474 234900128 250015904 293625160 312519880 400330948 500413685 587250320 625039760 800661896 1000827370 1174500640 1250079520 1601323792 2001654740 3202647584 4003309480 8006618960 16013237920 75762631909 151525263818 303050527636 378813159545 606101055272 757626319090 1212202110544 1515252638180 2424404221088 3030505276360 6061010552720 12122021105440