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1221012112200 = 23352127139115279
BaseRepresentation
bin10001110001001001111…
…111100100001101001000
311022201122102201000011020
4101301021333210031020
5130001113100042300
62332531503032440
7154133550465246
oct21611177441510
94281572630136
101221012112200
11430912561a81
1217878259b720
138b1aa8808aa
1443150dd1796
1521b6472b8a0
hex11c49fe4348

1221012112200 has 192 divisors, whose sum is σ = 3842420736000. Its totient is φ = 320712618240.

The previous prime is 1221012112129. The next prime is 1221012112237. The reversal of 1221012112200 is 22112101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221012112200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10534161 + ... + 10649439.

It is an arithmetic number, because the mean of its divisors is an integer number (20012608000).

Almost surely, 21221012112200 is an apocalyptic number.

1221012112200 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 1221012112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921210368000).

1221012112200 is an abundant number, since it is smaller than the sum of its proper divisors (2621408623800).

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

1221012112200 is a wasteful number, since it uses less digits than its factorization.

1221012112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115564 (or 115555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1221012112200 its reverse (22112101221), we get a palindrome (1243124213421).

The spelling of 1221012112200 in words is "one trillion, two hundred twenty-one billion, twelve million, one hundred twelve thousand, two hundred".