Search a number
-
+
1210121232 = 243412712269
BaseRepresentation
bin100100000100000…
…1111110000010000
310010100001112020220
41020020033300100
54434242334412
6320025033040
741662601145
oct11010176020
93110045226
101210121232
11571099aa1
12299325780
13163929288
14b6a063cc
157138968c
hex4820fc10

1210121232 has 80 divisors (see below), whose sum is σ = 3215627520. Its totient is φ = 391910400.

The previous prime is 1210121221. The next prime is 1210121317. The reversal of 1210121232 is 2321210121.

1210121232 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×12101212322 = 2928786792274395648, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532194 + ... + 534462.

It is an arithmetic number, because the mean of its divisors is an integer number (40195344).

Almost surely, 21210121232 is an apocalyptic number.

1210121232 is a gapful number since it is divisible by the number (12) 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 1210121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607813760).

1210121232 is an abundant number, since it is smaller than the sum of its proper divisors (2005506288).

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

1210121232 is a wasteful number, since it uses less digits than its factorization.

1210121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1210121232 is about 34786.7968056848. The cubic root of 1210121232 is about 1065.6378237573.

Adding to 1210121232 its reverse (2321210121), we get a palindrome (3531331353).

Subtracting 1210121232 from its reverse (2321210121), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 12101 and 21232, that added together give a palindrome (33333).

The spelling of 1210121232 in words is "one billion, two hundred ten million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 271 328 492 542 656 813 984 1084 1626 1968 2168 2269 3252 4336 4538 6504 6807 9076 11111 13008 13614 18152 22222 27228 33333 36304 44444 54456 66666 88888 93029 108912 133332 177776 186058 266664 279087 372116 533328 558174 614899 744232 1116348 1229798 1488464 1844697 2232696 2459596 3689394 4465392 4919192 7378788 9838384 14757576 25210859 29515152 50421718 75632577 100843436 151265154 201686872 302530308 403373744 605060616 1210121232