Search a number
-
+
12021111102 = 2372111319101149
BaseRepresentation
bin10110011001000001…
…11001100100111110
31011000202211201100010
423030200321210332
5144104401023402
65304502044050
7603615521100
oct131440714476
934022751303
1012021111102
115109670770
1223b5a19626
1311976468c0
14820755570
154a5540a6c
hex2cc83993e

12021111102 has 384 divisors, whose sum is σ = 35163072000. Its totient is φ = 2685312000.

The previous prime is 12021111073. The next prime is 12021111133. The reversal of 12021111102 is 20111112021.

12021111102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120211111022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 80678524 + ... + 80678672.

It is an arithmetic number, because the mean of its divisors is an integer number (91570500).

Almost surely, 212021111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536000).

12021111102 is an abundant number, since it is smaller than the sum of its proper divisors (23141960898).

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

12021111102 is a wasteful number, since it uses less digits than its factorization.

12021111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12021111102 its reverse (20111112021), we get a palindrome (32132223123).

The spelling of 12021111102 in words is "twelve billion, twenty-one million, one hundred eleven thousand, one hundred two".