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1220201332200 = 233252677889629
BaseRepresentation
bin10001110000011001101…
…010101011110111101000
311022122112221002010002100
4101300121222223313220
5124442433020112300
62332315221133400
7154104504123204
oct21603152536750
94278487063070
101220201332200
11430536928a64
12178596b5a260
138b0ab8c5106
14430b545bb04
1521b18475700
hex11c19aabde8

1220201332200 has 72 divisors (see below), whose sum is σ = 4097842813350. Its totient is φ = 325387021440.

The previous prime is 1220201332183. The next prime is 1220201332211. The reversal of 1220201332200 is 22331020221.

It can be written as a sum of positive squares in 3 ways, for example, as 940903880004 + 279297452196 = 970002^2 + 528486^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12202013322002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 338943015 + ... + 338946614.

Almost surely, 21220201332200 is an apocalyptic number.

1220201332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220201332200 is an abundant number, since it is smaller than the sum of its proper divisors (2877641481150).

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

1220201332200 is a wasteful number, since it uses less digits than its factorization.

1220201332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677889651 (or 677889639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1220201332200 its reverse (22331020221), we get a palindrome (1242532352421).

The spelling of 1220201332200 in words is "one trillion, two hundred twenty billion, two hundred one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 677889629 1355779258 2033668887 2711558516 3389448145 4067337774 5423117032 6101006661 6778896290 8134675548 10168344435 12202013322 13557792580 16269351096 16947240725 20336688870 24404026644 27115585160 30505033305 33894481450 40673377740 48808053288 50841722175 61010066610 67788962900 81346755480 101683444350 122020133220 135577925800 152525166525 203366888700 244040266440 305050333050 406733777400 610100666100 1220201332200