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12244122000 = 243453116871
BaseRepresentation
bin10110110011100111…
…00111100110010000
31011121022110211210000
423121303213212100
5200033443401000
65342550010000
7612264214455
oct133163474620
934538424700
1012244122000
1152135400a0
122458646900
1312018c9906
1484220782c
154b9de3000
hex2d9ce7990

12244122000 has 400 divisors, whose sum is σ = 48254304384. Its totient is φ = 2967840000.

The previous prime is 12244121983. The next prime is 12244122001. The reversal of 12244122000 is 22144221.

12244122000 is a `hidden beast` number, since 1 + 2 + 2 + 441 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12244122001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1778565 + ... + 1785435.

Almost surely, 212244122000 is an apocalyptic number.

12244122000 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 12244122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127152192).

12244122000 is an abundant number, since it is smaller than the sum of its proper divisors (36010182384).

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

12244122000 is a wasteful number, since it uses less digits than its factorization.

12244122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12244122000 its reverse (22144221), we get a palindrome (12266266221).

It can be divided in two parts, 122441 and 22000, that added together give a palindrome (144441).

The spelling of 12244122000 in words is "twelve billion, two hundred forty-four million, one hundred twenty-two thousand".