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12355014420 = 223257232961241
BaseRepresentation
bin10111000000110101…
…01000111100010100
31011220001010202120200
423200122220330110
5200300340430140
65401550500500
7615111614130
oct134032507424
934801122520
1012355014420
1152700a1221
122489804730
13121b885228
14852c323c0
154c49ea030
hex2e06a8f14

12355014420 has 576 divisors, whose sum is σ = 47186979840. Its totient is φ = 2554675200.

The previous prime is 12355014379. The next prime is 12355014437. The reversal of 12355014420 is 2441055321.

12355014420 is a `hidden beast` number, since 1 + 235 + 5 + 0 + 1 + 4 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51265500 + ... + 51265740.

It is an arithmetic number, because the mean of its divisors is an integer number (81921840).

Almost surely, 212355014420 is an apocalyptic number.

12355014420 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 12355014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593489920).

12355014420 is an abundant number, since it is smaller than the sum of its proper divisors (34831965420).

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

12355014420 is a wasteful number, since it uses less digits than its factorization.

12355014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12355014420 its reverse (2441055321), we get a palindrome (14796069741).

The spelling of 12355014420 in words is "twelve billion, three hundred fifty-five million, fourteen thousand, four hundred twenty".