Search a number
-
+
12411211032 = 233211237139277
BaseRepresentation
bin10111000111100010…
…00000110100011000
31012000221212211211200
423203301000310120
5200404232223112
65411315154200
7616363360503
oct134361006430
935027784750
1012411211032
115299894600
1224a45a5960
13122a3ccc6c
1485a4a013a
154c98eacdc
hex2e3c40d18

12411211032 has 288 divisors, whose sum is σ = 38356827600. Its totient is φ = 3619883520.

The previous prime is 12411210949. The next prime is 12411211067. The reversal of 12411211032 is 23011211421.

12411211032 is a `hidden beast` number, since 12 + 411 + 211 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12411210996 and 12411211014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44805678 + ... + 44805954.

Almost surely, 212411211032 is an apocalyptic number.

12411211032 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 12411211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178413800).

12411211032 is an abundant number, since it is smaller than the sum of its proper divisors (25945616568).

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

12411211032 is a wasteful number, since it uses less digits than its factorization.

12411211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12411211032 its reverse (23011211421), we get a palindrome (35422422453).

The spelling of 12411211032 in words is "twelve billion, four hundred eleven million, two hundred eleven thousand, thirty-two".