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12121001010 = 2325241558829
BaseRepresentation
bin10110100100111011…
…11100110000110010
31011021201210122112100
423102131330300302
5144310434013020
65322431041230
7606240544236
oct132235746062
934251718470
1012121001010
11515aa97508
122423370216
1311b224c261
1482db185c6
154ae1c2a90
hex2d277cc32

12121001010 has 48 divisors (see below), whose sum is σ = 31645425240. Its totient is φ = 3218849280.

The previous prime is 12121000993. The next prime is 12121001017. The reversal of 12121001010 is 1010012121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11662056081 + 458944929 = 107991^2 + 21423^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12121000983 and 12121001001.

It is not an unprimeable number, because it can be changed into a prime (12121001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257725 + ... + 301104.

Almost surely, 212121001010 is an apocalyptic number.

12121001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121001010 is an abundant number, since it is smaller than the sum of its proper divisors (19524424230).

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

12121001010 is a wasteful number, since it uses less digits than its factorization.

12121001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559083 (or 559080 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12121001010 its reverse (1010012121), we get a palindrome (13131013131).

The spelling of 12121001010 in words is "twelve billion, one hundred twenty-one million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 241 482 723 1205 1446 2169 2410 3615 4338 7230 10845 21690 558829 1117658 1676487 2794145 3352974 5029461 5588290 8382435 10058922 16764870 25147305 50294610 134677789 269355578 404033367 673388945 808066734 1212100101 1346777890 2020166835 2424200202 4040333670 6060500505 12121001010