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12210343040 = 275723163727
BaseRepresentation
bin10110101111100101…
…10000110010000000
31011111221220200202102
423113302300302000
5200001321434130
65335342005532
7611404126520
oct132762606200
934457820672
1012210343040
1151a64694a5
1224492768a8
1311c790086c
1483b933680
154b6e6e645
hex2d7cb0c80

12210343040 has 256 divisors, whose sum is σ = 35072593920. Its totient is φ = 3974344704.

The previous prime is 12210343037. The next prime is 12210343069. The reversal of 12210343040 is 4034301221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16795157 + ... + 16795883.

It is an arithmetic number, because the mean of its divisors is an integer number (137002320).

Almost surely, 212210343040 is an apocalyptic number.

12210343040 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 12210343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536296960).

12210343040 is an abundant number, since it is smaller than the sum of its proper divisors (22862250880).

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

12210343040 is a wasteful number, since it uses less digits than its factorization.

12210343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12210343040 its reverse (4034301221), we get a palindrome (16244644261).

The spelling of 12210343040 in words is "twelve billion, two hundred ten million, three hundred forty-three thousand, forty".