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12210409120 = 2557131749331
BaseRepresentation
bin10110101111100110…
…00000111010100000
31011111222001001101211
423113303000322200
5200001331042440
65335343235504
7611404523260
oct132763007240
934458031354
1012210409120
1151a6504108
1224492a8b94
1311c7924970
1483b94d7a0
154b6e83eea
hex2d7cc0ea0

12210409120 has 192 divisors, whose sum is σ = 37593351936. Its totient is φ = 3637002240.

The previous prime is 12210409097. The next prime is 12210409121. The reversal of 12210409120 is 2190401221.

It is a junction number, because it is equal to n+sod(n) for n = 12210409091 and 12210409100.

It is not an unprimeable number, because it can be changed into a prime (12210409121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222855 + ... + 272185.

It is an arithmetic number, because the mean of its divisors is an integer number (195798708).

Almost surely, 212210409120 is an apocalyptic number.

12210409120 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 12210409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796675968).

12210409120 is an abundant number, since it is smaller than the sum of its proper divisors (25382942816).

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

12210409120 is a wasteful number, since it uses less digits than its factorization.

12210409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49383 (or 49375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12210409120 in words is "twelve billion, two hundred ten million, four hundred nine thousand, one hundred twenty".