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12022883538120 = 23325713894123583
BaseRepresentation
bin1010111011110100101110…
…1100111101010011001000
31120120101011102111021201100
42232331023230331103020
53033440331141204440
641323123023421400
72350424155615050
oct256751354752310
946511142437640
1012022883538120
113915970359784
121422147454860
136929a35c33a0
142d7ca6c32560
1515cb21dc8230
hexaef4bb3d4c8

12022883538120 has 384 divisors, whose sum is σ = 48631900262400. Its totient is φ = 2508193492992.

The previous prime is 12022883538037. The next prime is 12022883538139. The reversal of 12022883538120 is 2183538822021.

12022883538120 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 28 + 83 + 538 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853849 + ... + 4977431.

It is an arithmetic number, because the mean of its divisors is an integer number (126645573600).

Almost surely, 212022883538120 is an apocalyptic number.

12022883538120 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 12022883538120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24315950131200).

12022883538120 is an abundant number, since it is smaller than the sum of its proper divisors (36609016724280).

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

12022883538120 is a wasteful number, since it uses less digits than its factorization.

12022883538120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123709 (or 4123702 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12022883538120 in words is "twelve trillion, twenty-two billion, eight hundred eighty-three million, five hundred thirty-eight thousand, one hundred twenty".