Search a number
-
+
12001101021 = 357213314161
BaseRepresentation
bin10110010110101001…
…00100010011011101
31010222101012002200000
423023110210103131
5144034240213041
65302505124513
7603253450500
oct131324442335
933871162600
1012001101021
1150a9343908
1223ab189739
13119345ba10
1481bc27137
154a38dbbb6
hex2cb5244dd

12001101021 has 288 divisors, whose sum is σ = 24204450816. Its totient is φ = 5878656000.

The previous prime is 12001101019. The next prime is 12001101053. The reversal of 12001101021 is 12010110021.

It is a happy number.

12001101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001101021 - 21 = 12001101019 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12001100994 and 12001101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001101011) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 196739331 + ... + 196739391.

It is an arithmetic number, because the mean of its divisors is an integer number (84043232).

Almost surely, 212001101021 is an apocalyptic number.

It is an amenable number.

12001101021 is an abundant number, since it is smaller than the sum of its proper divisors (12203349795).

12001101021 is a wasteful number, since it uses less digits than its factorization.

12001101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

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

Adding to 12001101021 its reverse (12010110021), we get a palindrome (24011211042).

The spelling of 12001101021 in words is "twelve billion, one million, one hundred one thousand, twenty-one".