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112230012400 = 24521159716089
BaseRepresentation
bin110100010000101101…
…1100001010111110000
3101201200111120100021221
41220201123201113300
53314321340344100
6123320250354424
711052110236222
oct1504133412760
9351614510257
10112230012400
1143661a09470
121990172ba14
13a77750907c
145609434412
152dbcc9201a
hex1a216e15f0

112230012400 has 240 divisors, whose sum is σ = 303393081600. Its totient is φ = 39547648000.

The previous prime is 112230012371. The next prime is 112230012437. The reversal of 112230012400 is 4210032211.

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, 18428556 + ... + 18434644.

It is an arithmetic number, because the mean of its divisors is an integer number (1264137840).

Almost surely, 2112230012400 is an apocalyptic number.

112230012400 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 112230012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151696540800).

112230012400 is an abundant number, since it is smaller than the sum of its proper divisors (191163069200).

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

112230012400 is a wasteful number, since it uses less digits than its factorization.

112230012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112230012400 its reverse (4210032211), we get a palindrome (116440044611).

The spelling of 112230012400 in words is "one hundred twelve billion, two hundred thirty million, twelve thousand, four hundred".