Search a number
-
+
12021001020 = 2235575359113
BaseRepresentation
bin10110011001000000…
…11110101100111100
31011000202122010100000
423030200132230330
5144104334013040
65304455434300
7603614552130
oct131440365474
934022563300
1012021001020
1151095a5a96
1223b5985990
131197608772
148207273c0
154a551d130
hex2cc81eb3c

12021001020 has 576 divisors, whose sum is σ = 45174205440. Its totient is φ = 2626670592.

The previous prime is 12021000973. The next prime is 12021001043. The reversal of 12021001020 is 2010012021.

12021001020 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-3 number, since 3×120210010203 (a number of 31 digits) contains 333 as substring.

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 = 12021000993 and 12021001011.

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, 106380484 + ... + 106380596.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 212021001020 is an apocalyptic number.

12021001020 is a gapful number since it is divisible by the number (10) 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 12021001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

12021001020 is an abundant number, since it is smaller than the sum of its proper divisors (33153204420).

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

12021001020 is a wasteful number, since it uses less digits than its factorization.

12021001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12021001020 its reverse (2010012021), we get a palindrome (14031013041).

The spelling of 12021001020 in words is "twelve billion, twenty-one million, one thousand, twenty".