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12010043122440 = 23351119642774509
BaseRepresentation
bin1010111011000100111001…
…0110101010001100001000
31120112011000112222120210020
42232301032112222030020
53033233032014404230
641313200533020440
72346461031105606
oct256611626521410
946464015876706
1012010043122440
1139104812723a0
12141b763184720
136917082c7b9c
142d7409768876
1515c61e99a810
hexaec4e5aa308

12010043122440 has 256 divisors, whose sum is σ = 41381304192000. Its totient is φ = 2757821230080.

The previous prime is 12010043122439. The next prime is 12010043122499. The reversal of 12010043122440 is 4422134001021.

It is a super-2 number, since 2×120100431224402 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12010043122440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161151906 + ... + 161226414.

It is an arithmetic number, because the mean of its divisors is an integer number (161645719500).

Almost surely, 212010043122440 is an apocalyptic number.

12010043122440 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 12010043122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690652096000).

12010043122440 is an abundant number, since it is smaller than the sum of its proper divisors (29371261069560).

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

12010043122440 is a wasteful number, since it uses less digits than its factorization.

12010043122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80980 (or 80976 counting only the distinct ones).

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

Adding to 12010043122440 its reverse (4422134001021), we get a palindrome (16432177123461).

The spelling of 12010043122440 in words is "twelve trillion, ten billion, forty-three million, one hundred twenty-two thousand, four hundred forty".