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1221132023200 = 25522952635001
BaseRepresentation
bin10001110001010001001…
…000111111010110100000
311022201221210100010010101
4101301101020333112200
5130001334244220300
62332551425112144
7154136534636065
oct21612110772640
94281853303111
101221132023200
11430974212981
121787b6788654
138b1c967614b
1443162cc6c6c
1521b70015b6a
hex11c5123f5a0

1221132023200 has 72 divisors (see below), whose sum is σ = 3083884767180. Its totient is φ = 471609600000.

The previous prime is 1221132023183. The next prime is 1221132023201. The reversal of 1221132023200 is 23202311221.

It can be written as a sum of positive squares in 6 ways, for example, as 294202099216 + 926929923984 = 542404^2 + 962772^2 .

It is not an unprimeable number, because it can be changed into a prime (1221132023201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26294301 + ... + 26340700.

Almost surely, 21221132023200 is an apocalyptic number.

1221132023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221132023200 is an abundant number, since it is smaller than the sum of its proper divisors (1862752743980).

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

1221132023200 is a wasteful number, since it uses less digits than its factorization.

1221132023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52635050 (or 52635037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1221132023200 its reverse (23202311221), we get a palindrome (1244334334421).

The spelling of 1221132023200 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 52635001 105270002 210540004 263175005 421080008 526350010 842160016 1052700020 1315875025 1526415029 1684320032 2105400040 2631750050 3052830058 4210800080 5263500100 6105660116 7632075145 8421600160 10527000200 12211320232 15264150290 21054000400 24422640464 30528300580 38160375725 42108000800 48845280928 61056601160 76320751450 122113202320 152641502900 244226404640 305283005800 610566011600 1221132023200