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12124234980 = 223351113197797
BaseRepresentation
bin10110100101010100…
…10010010011100100
31011021221212221201000
423102222102103210
5144312301004410
65323024233300
7606310203564
oct132252222344
934257787630
1012124234980
1151618a6210
12242446b830
1311b2b12250
1483031ada4
154ae610dc0
hex2d2a924e4

12124234980 has 384 divisors, whose sum is σ = 44595048960. Its totient is φ = 2695956480.

The previous prime is 12124234939. The next prime is 12124234987. The reversal of 12124234980 is 8943242121.

12124234980 is a `hidden beast` number, since 121 + 2 + 42 + 3 + 498 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12124234987) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15211942 + ... + 15212738.

It is an arithmetic number, because the mean of its divisors is an integer number (116132940).

Almost surely, 212124234980 is an apocalyptic number.

12124234980 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 12124234980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297524480).

12124234980 is an abundant number, since it is smaller than the sum of its proper divisors (32470813980).

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

12124234980 is a wasteful number, since it uses less digits than its factorization.

12124234980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12124234980 in words is "twelve billion, one hundred twenty-four million, two hundred thirty-four thousand, nine hundred eighty".