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12121210120 = 23517157113537
BaseRepresentation
bin10110100100111101…
…01111110100001000
31011021202012021101011
423102132233310020
5144311012210440
65322435333304
7606242405005
oct132236576410
934252167334
1012121210120
11516011a628
122423451234
1311b22c34a6
1482db708ac
154ae2149ea
hex2d27afd08

12121210120 has 64 divisors (see below), whose sum is σ = 29061186480. Its totient is φ = 4534173696.

The previous prime is 12121210109. The next prime is 12121210121. The reversal of 12121210120 is 2101212121.

It can be written as a sum of positive squares in 8 ways, for example, as 4440089956 + 7681120164 = 66634^2 + 87642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12121210120.

It is not an unprimeable number, because it can be changed into a prime (12121210121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49992 + ... + 163528.

Almost surely, 212121210120 is an apocalyptic number.

12121210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530593240).

12121210120 is an abundant number, since it is smaller than the sum of its proper divisors (16939976360).

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

12121210120 is a wasteful number, since it uses less digits than its factorization.

12121210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113722 (or 113718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121210120 its reverse (2101212121), we get a palindrome (14222422241).

It can be divided in two parts, 121212101 and 20, that added together give a palindrome (121212121).

The spelling of 12121210120 in words is "twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 157 170 314 340 628 680 785 1256 1570 2669 3140 5338 6280 10676 13345 21352 26690 53380 106760 113537 227074 454148 567685 908296 1135370 1930129 2270740 3860258 4541480 7720516 9650645 15441032 17825309 19301290 35650618 38602580 71301236 77205160 89126545 142602472 178253090 303030253 356506180 606060506 713012360 1212121012 1515151265 2424242024 3030302530 6060605060 12121210120