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1242121441 = 112512811601
BaseRepresentation
bin100101000001001…
…0100010011100001
310012120021022021211
41022002110103201
510020440341231
6323130550121
742531600211
oct11202242341
93176238254
101242121441
11588166250
122a7b98341
1316a451802
14bad76241
15740aaeb1
hex4a0944e1

1242121441 has 16 divisors (see below), whose sum is σ = 1366134336. Its totient is φ = 1120000000.

The previous prime is 1242121429. The next prime is 1242121459. The reversal of 1242121441 is 1441212421.

It is a 7-Lehmer number, since φ(1242121441) divides (1242121441-1)7.

It is a cyclic number.

It is not a de Polignac number, because 1242121441 - 219 = 1241597153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1242121411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775041 + ... + 776641.

It is an arithmetic number, because the mean of its divisors is an integer number (85383396).

Almost surely, 21242121441 is an apocalyptic number.

1242121441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1242121441 is a deficient number, since it is larger than the sum of its proper divisors (124012895).

1242121441 is a wasteful number, since it uses less digits than its factorization.

1242121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144.

The product of its digits is 512, while the sum is 22.

The square root of 1242121441 is about 35243.7432887030. The cubic root of 1242121441 is about 1074.9493946973.

Adding to 1242121441 its reverse (1441212421), we get a palindrome (2683333862).

The spelling of 1242121441 in words is "one billion, two hundred forty-two million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 11 251 281 1601 2761 3091 17611 70531 401851 449881 775841 4420361 4948691 112920131 1242121441