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12202001020 = 225111913921001
BaseRepresentation
bin10110101110100101…
…11100001001111100
31011111101012212122201
423113102330021330
5144442203013040
65334443121244
7611243203666
oct132722741174
934441185581
1012202001020
1151a1790a70
122446513224
1311c5c6c861
1483a7a1536
154b6372a9a
hex2d74bc27c

12202001020 has 96 divisors (see below), whose sum is σ = 29638022400. Its totient is φ = 4173120000.

The previous prime is 12202001017. The next prime is 12202001029. The reversal of 12202001020 is 2010020221.

It is a super-3 number, since 3×122020010203 (a number of 31 digits) contains 333 as substring.

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 = 12202000988 and 12202001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202001029) by changing a digit.

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, 570520 + ... + 591520.

It is an arithmetic number, because the mean of its divisors is an integer number (308729400).

Almost surely, 212202001020 is an apocalyptic number.

12202001020 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 12202001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819011200).

12202001020 is an abundant number, since it is smaller than the sum of its proper divisors (17436021380).

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

12202001020 is a wasteful number, since it uses less digits than its factorization.

12202001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179 (or 21177 counting only the distinct ones).

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

Adding to 12202001020 its reverse (2010020221), we get a palindrome (14212021241).

The spelling of 12202001020 in words is "twelve billion, two hundred two million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 139 190 209 220 278 380 418 556 695 836 1045 1390 1529 2090 2641 2780 3058 4180 5282 6116 7645 10564 13205 15290 21001 26410 29051 30580 42002 52820 58102 84004 105005 116204 145255 210010 231011 290510 399019 420020 462022 581020 798038 924044 1155055 1596076 1995095 2310110 2919139 3990190 4389209 4620220 5838278 7980380 8778418 11676556 14595695 17556836 21946045 29191390 32110529 43892090 55463641 58382780 64221058 87784180 110927282 128442116 160552645 221854564 277318205 321105290 554636410 610100051 642210580 1109272820 1220200102 2440400204 3050500255 6101000510 12202001020