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1221012212200 = 235211809686039
BaseRepresentation
bin10001110001001001111…
…111111100100111101000
311022201122102220002022221
4101301021333330213220
5130001113111242300
62332531505123424
7154133551362634
oct21611177744750
94281572802287
101221012212200
11430912620120
12178782629574
138b1aa8b7271
1443151019dc4
1521b6474b31a
hex11c49ffc9e8

1221012212200 has 96 divisors (see below), whose sum is σ = 3100763592000. Its totient is φ = 443454963200.

The previous prime is 1221012212197. The next prime is 1221012212279. The reversal of 1221012212200 is 22122101221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436781 + ... + 2122819.

It is an arithmetic number, because the mean of its divisors is an integer number (32299620750).

Almost surely, 21221012212200 is an apocalyptic number.

1221012212200 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 1221012212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550381796000).

1221012212200 is an abundant number, since it is smaller than the sum of its proper divisors (1879751379800).

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

1221012212200 is a wasteful number, since it uses less digits than its factorization.

1221012212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686875 (or 686866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1221012212200 its reverse (22122101221), we get a palindrome (1243134313421).

The spelling of 1221012212200 in words is "one trillion, two hundred twenty-one billion, twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 809 1100 1618 2200 3236 4045 6472 8090 8899 16180 17798 20225 32360 35596 40450 44495 71192 80900 88990 161800 177980 222475 355960 444950 686039 889900 1372078 1779800 2744156 3430195 5488312 6860390 7546429 13720780 15092858 17150975 27441560 30185716 34301950 37732145 60371432 68603900 75464290 137207800 150928580 188660725 301857160 377321450 555005551 754642900 1110011102 1509285800 2220022204 2775027755 4440044408 5550055510 6105061061 11100111020 12210122122 13875138775 22200222040 24420244244 27750277550 30525305305 48840488488 55500555100 61050610610 111001110200 122101221220 152626526525 244202442440 305253053050 610506106100 1221012212200