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12121102110 = 2351334789567
BaseRepresentation
bin10110100100111100…
…10101011100011110
31011021201222210012210
423102132111130132
5144311000231420
65322433141250
7606241445055
oct132236253436
934251883183
1012121102110
115160056467
1224233ba826
1311b2286290
1482db4339c
154ae1e29e0
hex2d279571e

12121102110 has 64 divisors (see below), whose sum is σ = 31419021312. Its totient is φ = 2975024256.

The previous prime is 12121102093. The next prime is 12121102111. The reversal of 12121102110 is 1120112121.

It is a super-2 number, since 2×121211021102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121102111) 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, 90547 + ... + 180113.

It is an arithmetic number, because the mean of its divisors is an integer number (490922208).

Almost surely, 212121102110 is an apocalyptic number.

12121102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709510656).

12121102110 is an abundant number, since it is smaller than the sum of its proper divisors (19297919202).

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

12121102110 is a wasteful number, since it uses less digits than its factorization.

12121102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89937.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12121102110 its reverse (1120112121), we get a palindrome (13241214231).

The spelling of 12121102110 in words is "twelve billion, one hundred twenty-one million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 347 390 694 1041 1735 2082 3470 4511 5205 9022 10410 13533 22555 27066 45110 67665 89567 135330 179134 268701 447835 537402 895670 1164371 1343505 2328742 2687010 3493113 5821855 6986226 11643710 17465565 31079749 34931130 62159498 93239247 155398745 186478494 310797490 404036737 466196235 808073474 932392470 1212110211 2020183685 2424220422 4040367370 6060551055 12121102110