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112221221200 = 245211671013769
BaseRepresentation
bin110100010000011100…
…1111111000101010000
3101201122220000201000221
41220200321333011100
53314312113034300
6123315334122424
711051642433004
oct1504071770520
9351586021027
10112221221200
1143657a54510
12198ba7b0414
13a77574b78a
1456081c6704
152dbc10731a
hex1a20e7f150

112221221200 has 240 divisors, whose sum is σ = 301547039040. Its totient is φ = 39790080000.

The previous prime is 112221221131. The next prime is 112221221303. The reversal of 112221221200 is 2122122211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 29772916 + ... + 29776684.

It is an arithmetic number, because the mean of its divisors is an integer number (1256445996).

Almost surely, 2112221221200 is an apocalyptic number.

112221221200 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 112221221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150773519520).

112221221200 is an abundant number, since it is smaller than the sum of its proper divisors (189325817840).

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

112221221200 is a wasteful number, since it uses less digits than its factorization.

112221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112221221200 its reverse (2122122211), we get a palindrome (114343343411).

The spelling of 112221221200 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".