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112212100000 = 2555711131959
BaseRepresentation
bin110100010000001011…
…1001100001110100000
3101201122020212022002201
41220200113030032200
53314302244200000
6123314410422544
711051502053410
oct1504027141640
9351566768081
10112212100000
1143652894630
12198b7731a54
13a7738a6c10
145606cd0640
152dbb40496a
hex1a205cc3a0

112212100000 has 1152 divisors, whose sum is σ = 396874598400. Its totient is φ = 30067200000.

The previous prime is 112212099977. The next prime is 112212100001. The reversal of 112212100000 is 1212211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 112212100000.

It is not an unprimeable number, because it can be changed into a prime (112212100001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1901899971 + ... + 1901900029.

It is an arithmetic number, because the mean of its divisors is an integer number (344509200).

Almost surely, 2112212100000 is an apocalyptic number.

112212100000 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 112212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198437299200).

112212100000 is an abundant number, since it is smaller than the sum of its proper divisors (284662498400).

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

112212100000 is a wasteful number, since it uses less digits than its factorization.

112212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112212100000 its reverse (1212211), we get a palindrome (112213312211).

It can be divided in two parts, 112212 and 100000, that added together give a palindrome (212212).

The spelling of 112212100000 in words is "one hundred twelve billion, two hundred twelve million, one hundred thousand".