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12020020211260 = 2253161993132003
BaseRepresentation
bin1010111011101010000100…
…0010001110111000111100
31120120002202212122012200101
42232322201002032320330
53033414000133230020
641321530540410444
72350263210005245
oct256724102167074
946502685565611
1012020020211260
113914731058946
121421688546a24
13692638322b39
142d7ab4845ccc
1515ca0583000a
hexaeea108ee3c

12020020211260 has 96 divisors (see below), whose sum is σ = 26486948726784. Its totient is φ = 4576029984000.

The previous prime is 12020020211239. The next prime is 12020020211261. The reversal of 12020020211260 is 6211202002021.

12020020211260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020020211261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375574419 + ... + 375606421.

It is an arithmetic number, because the mean of its divisors is an integer number (275905715904).

Almost surely, 212020020211260 is an apocalyptic number.

12020020211260 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 12020020211260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243474363392).

12020020211260 is an abundant number, since it is smaller than the sum of its proper divisors (14466928515524).

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

12020020211260 is a wasteful number, since it uses less digits than its factorization.

12020020211260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42035 (or 42033 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12020020211260 its reverse (6211202002021), we get a palindrome (18231222213281).

The spelling of 12020020211260 in words is "twelve trillion, twenty billion, twenty million, two hundred eleven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3782 7564 9455 9931 18910 19862 32003 37820 39724 49655 64006 99310 128012 160015 198620 307861 320030 605791 615722 640060 992093 1211582 1231444 1539305 1952183 1984186 2423164 3028955 3078610 3904366 3968372 4960465 6057910 6157220 7808732 9760915 9920930 12115820 18779521 19521830 19841860 37559042 39043660 60517673 75118084 93897605 121035346 187795210 242070692 302588365 317821793 375590420 605176730 635643586 1210353460 1271287172 1589108965 3178217930 6356435860 9852475583 19387129373 19704951166 38774258746 39409902332 49262377915 77548517492 96935646865 98524755830 193871293730 197049511660 387742587460 601001010563 1202002021126 2404004042252 3005005052815 6010010105630 12020020211260