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12224420031120 = 24351121133725231
BaseRepresentation
bin1011000111100011100000…
…1101101010101010010000
31121021122100211221220100220
42301320320031222222100
53100241103011443440
641555453202113040
72401120344550353
oct261707015525220
947248324856326
1012224420031120
113993390465900
12145521164b780
136a89b1040ccb
14303944dd629a
15162eba1a48d0
hexb1e3836aa90

12224420031120 has 240 divisors, whose sum is σ = 42022583882496. Its totient is φ = 2937269350400.

The previous prime is 12224420031071. The next prime is 12224420031121. The reversal of 12224420031120 is 2113002442221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12224420031121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418905 + ... + 5144135.

Almost surely, 212224420031120 is an apocalyptic number.

12224420031120 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 12224420031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011291941248).

12224420031120 is an abundant number, since it is smaller than the sum of its proper divisors (29798163851376).

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

12224420031120 is a wasteful number, since it uses less digits than its factorization.

12224420031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725382 (or 3725365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12224420031120 its reverse (2113002442221), we get a palindrome (14337422473341).

The spelling of 12224420031120 in words is "twelve trillion, two hundred twenty-four billion, four hundred twenty million, thirty-one thousand, one hundred twenty".