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1221112111200 = 253528923832399
BaseRepresentation
bin10001110001001111111…
…101000010000001100000
311022201220101212110222220
4101301033331002001200
5130001314200024300
62332545434231040
7154136203454442
oct21611775020140
94281811773886
101221112111200
11430963a52783
121787abb85480
138b1c54c3ab7
14431603c2492
1521b6d3d0da0
hex11c4ff42060

1221112111200 has 288 divisors, whose sum is σ = 4022742528000. Its totient is φ = 321701867520.

The previous prime is 1221112111189. The next prime is 1221112111237. The reversal of 1221112111200 is 21112111221.

It is a happy number.

It is a super-2 number, since 2×12211121112002 (a number of 25 digits) contains 22 as substring.

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 1221112111200.

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 47 ways as a sum of consecutive naturals, for example, 509007601 + ... + 509009999.

It is an arithmetic number, because the mean of its divisors is an integer number (13967856000).

Almost surely, 21221112111200 is an apocalyptic number.

1221112111200 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 1221112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011371264000).

1221112111200 is an abundant number, since it is smaller than the sum of its proper divisors (2801630416800).

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

1221112111200 is a wasteful number, since it uses less digits than its factorization.

1221112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221112111200 its reverse (21112111221), we get a palindrome (1242224222421).

The spelling of 1221112111200 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, two hundred".