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12202121120 = 255721556393
BaseRepresentation
bin10110101110100110…
…11001011110100000
31011111101102222101212
423113103121132200
5144442220333440
65334445445252
7611244214100
oct132723313640
934441388355
1012202121120
1151a1863222
122446570828
1311c5cb2417
1483a7d3200
154b6398465
hex2d74d97a0

12202121120 has 72 divisors (see below), whose sum is σ = 33534065124. Its totient is φ = 4183581696.

The previous prime is 12202121101. The next prime is 12202121123. The reversal of 12202121120 is 2112120221.

It can be written as a sum of positive squares in 2 ways, for example, as 10680809104 + 1521312016 = 103348^2 + 39004^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12202121095 and 12202121104.

It is not an unprimeable number, because it can be changed into a prime (12202121123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770357 + ... + 786036.

Almost surely, 212202121120 is an apocalyptic number.

12202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202121120 is an abundant number, since it is smaller than the sum of its proper divisors (21331944004).

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

12202121120 is a wasteful number, since it uses less digits than its factorization.

12202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556422 (or 1556407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202121120 its reverse (2112120221), we get a palindrome (14314241341).

The spelling of 12202121120 in words is "twelve billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 1556393 3112786 6225572 7781965 10894751 12451144 15563930 21789502 24902288 31127860 43579004 49804576 54473755 62255720 76263257 87158008 108947510 124511440 152526514 174316016 217895020 249022880 305053028 348632032 381316285 435790040 610106056 762632570 871580080 1220212112 1525265140 1743160160 2440424224 3050530280 6101060560 12202121120