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1220444420200 = 2352109541910331
BaseRepresentation
bin10001110000101000001…
…001111111100001101000
311022200011212111021010121
4101300220021333201220
5124443432232421300
62332355303253024
7154113515256445
oct21605011774150
94280155437117
101220444420200
11430651070635
1217864444a174
138b11a087675
14430d98589cc
1521b2e99181a
hex11c2827f868

1220444420200 has 96 divisors (see below), whose sum is σ = 2864371356000. Its totient is φ = 483563001600.

The previous prime is 1220444420191. The next prime is 1220444420219. The reversal of 1220444420200 is 20244440221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118129035 + ... + 118139365.

It is an arithmetic number, because the mean of its divisors is an integer number (29837201625).

Almost surely, 21220444420200 is an apocalyptic number.

1220444420200 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 1220444420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432185678000).

1220444420200 is an abundant number, since it is smaller than the sum of its proper divisors (1643926935800).

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

1220444420200 is a wasteful number, since it uses less digits than its factorization.

1220444420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15875 (or 15866 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 1220444420200 its reverse (20244440221), we get a palindrome (1240688860421).

The spelling of 1220444420200 in words is "one trillion, two hundred twenty billion, four hundred forty-four million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5419 5450 10331 10838 10900 20662 21676 21800 27095 41324 43352 51655 54190 82648 103310 108380 135475 206620 216760 258275 270950 413240 516550 541900 590671 1033100 1083800 1126079 1181342 2066200 2252158 2362684 2953355 4504316 4725368 5630395 5906710 9008632 11260790 11813420 14766775 22521580 23626840 28151975 29533550 45043160 55983689 56303950 59067100 111967378 112607900 118134200 223934756 225215800 279918445 447869512 559836890 1119673780 1399592225 2239347560 2799184450 5598368900 6102222101 11196737800 12204444202 24408888404 30511110505 48817776808 61022221010 122044442020 152555552525 244088884040 305111105050 610222210100 1220444420200