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12020021020 = 22571720692441
BaseRepresentation
bin10110011000111001…
…01111011100011100
31011000200210100000201
423030130233130130
5144104111133040
65304422433244
7603603331030
oct131434573434
934020710021
1012020021020
115108a96777
1223b5592824
131197354697
148205501c0
154a53c7a9a
hex2cc72f71c

12020021020 has 96 divisors (see below), whose sum is σ = 30572277120. Its totient is φ = 3875266560.

The previous prime is 12020021011. The next prime is 12020021047. The reversal of 12020021020 is 2012002021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12020020988 and 12020021006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923000 + ... + 4925440.

It is an arithmetic number, because the mean of its divisors is an integer number (318461220).

Almost surely, 212020021020 is an apocalyptic number.

12020021020 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 12020021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15286138560).

12020021020 is an abundant number, since it is smaller than the sum of its proper divisors (18552256100).

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

12020021020 is a wasteful number, since it uses less digits than its factorization.

12020021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12020021020 its reverse (2012002021), we get a palindrome (14032023041).

The spelling of 12020021020 in words is "twelve billion, twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2069 2380 2441 4138 4882 8276 9764 10345 12205 14483 17087 20690 24410 28966 34174 35173 41380 41497 48820 57932 68348 70346 72415 82994 85435 140692 144830 165988 170870 175865 207485 246211 289660 290479 341740 351730 414970 492422 580958 703460 829940 984844 1161916 1231055 1452395 2462110 2904790 4924220 5050429 5809580 10100858 20201716 25252145 35353003 50504290 70706006 85857293 101008580 141412012 171714586 176765015 343429172 353530030 429286465 601001051 707060060 858572930 1202002102 1717145860 2404004204 3005005255 6010010510 12020021020