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12114241021 = 172295924499
BaseRepresentation
bin10110100100001000…
…01010010111111101
31011021021002012120101
423102010022113331
5144302221203041
65322030121101
7606126230641
oct132204122775
934237065511
1012114241021
11515719a643
122421050191
1311b0a2336c
1482cc78c21
154ad7d9b31
hex2d210a5fd

12114241021 has 24 divisors (see below), whose sum is σ = 13538700000. Its totient is φ = 10821452544.

The previous prime is 12114240979. The next prime is 12114241031. The reversal of 12114241021 is 12014241121.

It is a happy number.

12114241021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12114241021 - 219 = 12113716733 is a prime.

It is a super-3 number, since 3×121142410213 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12114241021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114241031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482230 + ... + 506728.

It is an arithmetic number, because the mean of its divisors is an integer number (564112500).

Almost surely, 212114241021 is an apocalyptic number.

It is an amenable number.

12114241021 is a deficient number, since it is larger than the sum of its proper divisors (1424458979).

12114241021 is a wasteful number, since it uses less digits than its factorization.

12114241021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24621 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12114241021 its reverse (12014241121), we get a palindrome (24128482142).

The spelling of 12114241021 in words is "twelve billion, one hundred fourteen million, two hundred forty-one thousand, twenty-one".

Divisors: 1 17 29 59 289 493 1003 1711 8381 17051 24499 29087 416483 494479 710471 1445441 7080211 12078007 24572497 41917789 205326119 417732449 712602413 12114241021