Search a number
-
+
12121131210 = 235443912049
BaseRepresentation
bin10110100100111100…
…11100100011001010
31011021202001021010120
423102132130203022
5144311002144320
65322433524110
7606241625646
oct132236344312
934252037116
1012121131210
115160076311
122423413636
1311b22965b6
1482db4dc26
154ae1eb440
hex2d279c8ca

12121131210 has 32 divisors (see below), whose sum is σ = 29156414400. Its totient is φ = 3225001728.

The previous prime is 12121131199. The next prime is 12121131241. The reversal of 12121131210 is 1213112121.

12121131210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12121131210.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 442735 + ... + 469314.

It is an arithmetic number, because the mean of its divisors is an integer number (911137950).

Almost surely, 212121131210 is an apocalyptic number.

12121131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121131210 is an abundant number, since it is smaller than the sum of its proper divisors (17035283190).

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

12121131210 is a wasteful number, since it uses less digits than its factorization.

12121131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912502.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12121131210 its reverse (1213112121), we get a palindrome (13334243331).

The spelling of 12121131210 in words is "twelve billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 443 886 1329 2215 2658 4430 6645 13290 912049 1824098 2736147 4560245 5472294 9120490 13680735 27361470 404037707 808075414 1212113121 2020188535 2424226242 4040377070 6060565605 12121131210