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1221202101200 = 245219499322013
BaseRepresentation
bin10001110001010101010…
…100010100001111010000
311022202010200012110001212
4101301111110110033100
5130002010214214300
62333002411115252
7154141345406114
oct21612524241720
94282120173055
101221202101200
114309aa827584
12178816142b28
138b20b041313
144316c329744
1521b76259935
hex11c555143d0

1221202101200 has 120 divisors (see below), whose sum is σ = 3094554540000. Its totient is φ = 461842490880.

The previous prime is 1221202101199. The next prime is 1221202101227. The reversal of 1221202101200 is 21012021221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631394 + ... + 3953406.

It is an arithmetic number, because the mean of its divisors is an integer number (25787954500).

Almost surely, 21221202101200 is an apocalyptic number.

1221202101200 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 1221202101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547277270000).

1221202101200 is an abundant number, since it is smaller than the sum of its proper divisors (1873352438800).

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

1221202101200 is a wasteful number, since it uses less digits than its factorization.

1221202101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322549 (or 322538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221202101200 its reverse (21012021221), we get a palindrome (1242214122421).

The spelling of 1221202101200 in words is "one trillion, two hundred twenty-one billion, two hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 499 760 950 998 1520 1900 1996 2495 3800 3992 4990 7600 7984 9481 9980 12475 18962 19960 24950 37924 39920 47405 49900 75848 94810 99800 151696 189620 199600 237025 322013 379240 474050 644026 758480 948100 1288052 1610065 1896200 2576104 3220130 3792400 5152208 6118247 6440260 8050325 12236494 12880520 16100650 24472988 25761040 30591235 32201300 48945976 61182470 64402600 97891952 122364940 128805200 152956175 160684487 244729880 305912350 321368974 489459760 611824700 642737948 803422435 1223649400 1285475896 1606844870 2447298800 2570951792 3053005253 3213689740 4017112175 6106010506 6427379480 8034224350 12212021012 12854758960 15265026265 16068448700 24424042024 30530052530 32136897400 48848084048 61060105060 64273794800 76325131325 122120210120 152650262650 244240420240 305300525300 610601050600 1221202101200