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12011580370944 = 2123371121719397
BaseRepresentation
bin1010111011001010100111…
…1110110011000000000000
31120112021222200120220022000
42232302221332303000000
53033244204033332234
641314013245344000
72346544105361640
oct256625176630000
946467880526260
1012011580370944
11391109aa83a00
12141bb11b68000
136918c192c49b
142d75139a6520
1515c6ae901899
hexaeca9fb3000

12011580370944 has 2496 divisors, whose sum is σ = 49948691788800. Its totient is φ = 2774815211520.

The previous prime is 12011580370931. The next prime is 12011580370949. The reversal of 12011580370944 is 44907308511021.

12011580370944 is a `hidden beast` number, since 1 + 2 + 0 + 115 + 80 + 370 + 94 + 4 = 666.

It is a super-2 number, since 2×120115803709442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12011580370944.

It is not an unprimeable number, because it can be changed into a prime (12011580370949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30255869754 + ... + 30255870150.

Almost surely, 212011580370944 is an apocalyptic number.

12011580370944 is a gapful number since it is divisible by the number (14) 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 12011580370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24974345894400).

12011580370944 is an abundant number, since it is smaller than the sum of its proper divisors (37937111417856).

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

12011580370944 is a wasteful number, since it uses less digits than its factorization.

12011580370944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 12011580370944 its reverse (44907308511021), we get a palindrome (56918888881965).

The spelling of 12011580370944 in words is "twelve trillion, eleven billion, five hundred eighty million, three hundred seventy thousand, nine hundred forty-four".