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1223220010200 = 2335212131680709
BaseRepresentation
bin10001110011001101100…
…110000001110011011000
311022221100022020211211020
4101303031212001303120
5130020123310311300
62333534534002440
7154242350350536
oct21631546016330
94287308224736
101223220010200
11431845896471
12179099aa6420
138b470119106
14432c0327156
1521c434a88a0
hex11ccd981cd8

1223220010200 has 96 divisors (see below), whose sum is σ = 3795110408400. Its totient is φ = 325922895360.

The previous prime is 1223220010153. The next prime is 1223220010211. The reversal of 1223220010200 is 20100223221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1223220010200.

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 23 ways as a sum of consecutive naturals, for example, 112555 + ... + 1568154.

Almost surely, 21223220010200 is an apocalyptic number.

1223220010200 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 1223220010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897555204200).

1223220010200 is an abundant number, since it is smaller than the sum of its proper divisors (2571890398200).

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

1223220010200 is a wasteful number, since it uses less digits than its factorization.

1223220010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681941 (or 1681932 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1223220010200 its reverse (20100223221), we get a palindrome (1243320233421).

The spelling of 1223220010200 in words is "one trillion, two hundred twenty-three billion, two hundred twenty million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1213 2426 3639 4852 6065 7278 9704 12130 14556 18195 24260 29112 30325 36390 48520 60650 72780 90975 121300 145560 181950 242600 363900 727800 1680709 3361418 5042127 6722836 8403545 10084254 13445672 16807090 20168508 25210635 33614180 40337016 42017725 50421270 67228360 84035450 100842540 126053175 168070900 201685080 252106350 336141800 504212700 1008425400 2038700017 4077400034 6116100051 8154800068 10193500085 12232200102 16309600136 20387000170 24464400204 30580500255 40774000340 48928800408 50967500425 61161000510 81548000680 101935000850 122322001020 152902501275 203870001700 244644002040 305805002550 407740003400 611610005100 1223220010200