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12121002201 = 3711311692641
BaseRepresentation
bin10110100100111011…
…11101000011011001
31011021201210201011110
423102131331003121
5144310434032301
65322431050533
7606240550560
oct132235750331
934251721143
1012121002201
11515aa983a0
122423370a49
1311b224c969
1482db18bd7
154ae1c30d6
hex2d277d0d9

12121002201 has 32 divisors (see below), whose sum is σ = 20799184896. Its totient is φ = 6093504000.

The previous prime is 12121002191. The next prime is 12121002209. The reversal of 12121002201 is 10220012121.

It is not a de Polignac number, because 12121002201 - 25 = 12121002169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839160 + ... + 853481.

It is an arithmetic number, because the mean of its divisors is an integer number (649974528).

Almost surely, 212121002201 is an apocalyptic number.

12121002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121002201 is a deficient number, since it is larger than the sum of its proper divisors (8678182695).

12121002201 is a wasteful number, since it uses less digits than its factorization.

12121002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692693.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121002201 its reverse (10220012121), we get a palindrome (22341014322).

The spelling of 12121002201 in words is "twelve billion, one hundred twenty-one million, two thousand, two hundred one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 1023 2387 7161 1692641 5077923 11848487 18619051 35545461 52471871 55857153 130333357 157415613 367303097 391000071 577190581 1101909291 1731571743 4040334067 12121002201